JPH10171762A - Operation device, operation method, and medium recording operation control program - Google Patents

Abstract

(57) [Summary] [PROBLEMS] To provide an arithmetic unit for performing an operation display of factorization, not to immediately display the operation result of factorization, but to experience the process of actually performing factorization by experience. Enable. When a desired integer expression to be factorized is displayed by key input and a "factoring" key is operated, an arbitrary factor is designated to select a factoring process by either extracting or rearranging in descending order. The disassembly menu is displayed. When an "execute" key 12d is operated by inputting and specifying an arbitrary factor for rearranging in descending order, the inputted integer expression is disassembled and displayed by a descending order rearranging process based on the specified factor, and an optional operation for extracting When the "execute" key 12d is operated with the specified factor, the input integer expression is disassembled by the designated factor extraction process and displayed, and the disassembly process by the factor designation is performed step by step until an answer is obtained. I can do it.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to an arithmetic unit, an arithmetic method, and a medium for recording an arithmetic control program for performing arithmetic display of factorization.

[0002]

2. Description of the Related Art Conventionally, in an electronic computer having an operation function of factorization, when an arbitrary polynomial is input to instruct factorization, for example, a common factoring process and a fitting process to a factorization formula are internally performed. Only the answer executed in the arithmetic processing and finally factorized is displayed on the display screen as the arithmetic result.

[0003]

However, in the conventional computer, when an arbitrary integer expression is input and displayed and an operation for instructing factorization is performed, a series of factorization calculation processing is immediately executed, and only the answer is obtained. Because it is displayed, if this computer is used as an educational device, it is not possible to experience the actual factorization process, such as what factors can be efficiently decomposed, by experience. There's a problem.

SUMMARY OF THE INVENTION The present invention has been made in view of the above-described problem. Instead of displaying the operation result of factorization immediately, it is possible to experience the process of actually performing factorization by experience. It is an object to provide an arithmetic unit, an arithmetic method, and a medium recording an arithmetic control program.

[0005]

That is, an arithmetic unit according to a first aspect of the present invention comprises: an expression inputting means for inputting an arbitrary integer expression to be factorized; and an arbitrary inputting expression inputted by the expression inputting means. A factor inputting means for inputting an arbitrary factor for the integral expression, an execution instructing means for instructing execution of the factorization, and a factor input by the factor inputting means when execution of the factorization is instructed by the execution instructing means Decomposition processing means for performing factorization of the integral expression input by the expression input means based on the expression, any integer expression input by the expression input means, any factor input by the factor input means, and the decomposition processing means Display means for displaying each of the expressions resulting from the factorization.

That is, in the arithmetic device according to the first aspect of the present invention, when an arbitrary polynomial to be factored is input, an arbitrary factor corresponding to the input polynomial is input, and execution of the factorization is instructed. Since the input polynomial is factorized based on the input factor, the input arbitrary polynomial, the input arbitrary factor, and the formula of the factorized result are displayed, respectively. Thus, the user can execute the decomposition processing by designating an arbitrary factor.

According to a second aspect of the present invention, there is provided the arithmetic unit according to the first aspect, wherein the decomposition processing means is controlled by the execution instructing means every time execution of factorization is instructed. A decomposition processing unit for performing a factorization stepwise on the integer expression input by the expression input unit based on the factor input by the factor input unit, and the display unit includes an arbitrary integer expression input by the expression input unit. A display means for displaying an arbitrary factor input by the factor input means and an expression of a result of each step which is factorized stepwise by the decomposition processing means.

That is, in the arithmetic unit according to the second aspect of the present invention, each time execution of factorization is instructed, the input integral equation is factorized stepwise based on the input factor, and The input arbitrary formula, the input arbitrary factor, and the expression of the result of each stage, which is factorized step by step, are displayed, respectively. That is, it is possible to execute an appropriate disassembly process.

[0009]

Embodiments of the present invention will be described below with reference to the drawings. FIG. 1 is a block diagram showing a configuration of an electronic circuit of an electronic computer according to an embodiment of the arithmetic unit of the present invention.

This computer has a control unit (CPU) 11 composed of a computer or the like. Control unit (CP
U) 11 causes the recording medium reading unit 17 to read a system program stored in the ROM 13 or a computer control program stored in the external recording medium 18 in advance in response to a key operation signal from the key input unit 12. And controls the operation of each part of the circuit using the RAM 14 as a work memory.

The control unit (CPU) 11 includes the key input unit 12, the ROM 13, the recording medium reading unit 17,
The AM 14 is connected, and the liquid crystal display unit 16 is connected via the display drive circuit 15.

The key input unit 12 is provided with data input keys 12a comprising various numerical / symbol key groups such as numerical keys, operator keys, function keys, etc., and a normal input corresponding to an arithmetic expression arbitrarily input. Various operation modes, such as an operation mode for performing an arithmetic operation, a graph mode for rendering and displaying graph data corresponding to an arbitrarily input function expression, and a factorization mode for performing a factorization process for an arbitrarily input integer expression A "menu" key 12b operated when displaying the menu screen, and either an arbitrary factor is designated for the integer expression displayed in the setting state of the factor decomposition mode, and the factor is arranged or arranged in descending order. "Factoring" key 12c operated when displaying a decomposition menu for selecting the factoring process of the An "Execute" key 12d operated when instructing the execution of the operation, an "Ans" key 12e operated when deriving and displaying a correct answer while displaying a calculation process with respect to the input expression, on the display screen Cursor keys “↑”, “↓”, “←”, “→” 12f operated when moving the cursor or selecting data, operated when returning display data in the process of calculation to the previous stage and displaying it There are provided a return key "@" 12g, a forward key "@" 12h operated when the display data in the calculation process is advanced to the subsequent stage and displayed.

The ROM 13 stores in advance system program data that governs the overall processing of the electronic circuit of the computer, and subprogram data that governs the processing of various operation modes, such as the factorization mode shown in FIG. Is stored in advance.

The RAM 14 has a display register 14a in which display data to be displayed on the liquid crystal display 16 in the various operation modes is developed and stored as bit map pattern data, and an input for storing input formula data. In the factor register 14b, the factor specified by the user input and the formula data decomposed by the factor are associated with the integer stored in the input formula register 14b in the factor decomposition mode, and the factor data is sequentially and stepwisely changed for each different factor. A factoring register 14c to be stored, a mode data register M for storing mode data indicating an operation mode set by menu selection, and a start of factoring for an input integer equation when the "factoring" key 12c is instructed. Flag register F in which flag "1" is set in the register and various operation modes Accompanied with no controller to control processing (CPU)
A data register such as a work register for temporarily storing data input / output by the input / output 11 is provided.

Next, the operation of the computer having the above configuration will be described. FIG. 2 is a flowchart showing the overall processing of the computer. When the "menu" key 12b of the key input section 12 is operated, a liquid crystal display section 16 displays a menu selection screen in which mode menus for selecting and setting operation modes such as an operation mode, a graph mode, and a factorization mode are displayed. (Step S1 → S2).

When an arbitrary mode menu is selected by operating the cursor in the display state of the menu selection screen, mode data indicating the selected operation mode is stored in the RAM.
14 is set and stored in the mode data register M, and the control processing program corresponding to the set operation mode is started to be in the display state of the initial display screen (step S).
3 → S4, S5, S6).

When the operation mode is selected and set by the menu selection setting processing (steps S1 to S6), an initial display screen for inputting the operation expression is displayed on the liquid crystal display unit 16, and the operation mode processing is started. It is started (step S7 → S8).

When the graph mode is selected and set by the menu selection setting process (steps S1 to S6), an initial display screen is displayed on the liquid crystal display section 16 for inputting a graph function expression. The process is started (steps S9 → S10).

When the factor decomposition mode is selected and set by the menu selection setting processing (steps S1 to S6), an initial display screen is displayed on a liquid crystal display in order to input an arbitrary polynomial to be decomposed as a given equation. Displayed on the unit 16;
The factorization mode process is activated (step S11 → S
A).

Further, when another operation mode is selected and set by the menu selection setting process (steps S1 to S6), the initial display screen is displayed on the liquid crystal display unit 16
Is displayed, the corresponding operation mode processing is started (step S11 → other mode processing).

FIG. 3 is a flow chart showing the factorization mode processing in the computer. FIG. 4 is a diagram showing an operation display state (No. 1) when a stepwise decomposition process is performed by designating a factor accompanying the factor decomposition mode process of the computer.

FIG. 5 is a view showing an operation display state (No. 2) when a stepwise decomposition process is performed by designating a factor accompanying the factor decomposition mode process of the computer. FIG.
As shown in (A), the user operates the "menu" key 12b of the key input unit 12 to select the cursor key 12f in a state where the menu selection screen is displayed on the liquid crystal display unit 16, thereby performing the "factor decomposition". Is selected and highlighted, the mode data indicating the factorization mode is set in the mode data register M in the RAM 14 according to the menu selection setting process (steps S1 to S6) in FIG. As shown in (B), an initial display screen for user input with an arbitrary equation to be factored as a given equation is displayed, and factorization mode processing in FIG. (Step S11 → SA).

[0023] Here, FIG. 4 as shown in (C), any polynomial of the data input keys 12a of the key input unit 12 are selectively operated as a target of factoring, for example, "2x ² y ²
.. ", It is determined whether or not the flag" 1 "is set in the disassembly flag register F in the RAM 14 (steps A1 to A2).

In this case, since the disassembly flag register F is initially set to "0", it is determined that the flag F has not been set to "1", and any arbitrary data input by the data input key 12a is determined. The integer expressions are stored in the input expression register 14b in the RAM 14 and sequentially displayed on the liquid crystal display 16 (steps A2 to A3).

When the "factoring" key 12c of the key input unit 12 is operated as shown in FIG. 4D in a state where an arbitrary integer expression is input and displayed, a factor is stored in the input expression register 14b in the RAM 14. It is determined whether or not a polynomial to be decomposed is stored (step A4 → A5).

[0026] In this case, the input expression register 14b, the optionally-entered polynomial "2x ² y ² ..." is judged that there is stored, the flag "1" is set in the degradation flag register F Along with the integer expression displayed as input, a decomposition menu for selecting any factor decomposition processing of designating or sorting in descending order by designating an arbitrary factor for the input expression is displayed. (Steps A5 → A6, A7).

According to the display of the disassembly menu, for example, as shown in FIG. 4E, "arrange in descending order" is selected by operating the cursor, and an arbitrary factor "x" is operated by operating the data input key 12a. When input and specified, it is determined that the flag "1" is set in the decomposition flag register F, and the specified factor "x" is written to the factor area of the factor decomposition register 14c (step A1 →
A2 → A8).

Then, when the "execute" key 12d is operated to instruct the start of the disassembly of the descending order by the designated factor "x" for the input expression, it is determined that the flag "1" is set in the disassembly flag register F. At the same time, it is determined that “sort in descending order” is selected in the disassembly menu, and the integer expression “2x” stored in the input expression register 14b is selected.
² y ² ... "is organizing process in descending order for the specified factor stored in the factor area of factoring register 14c" x ",
The liquid crystal display 1 is stored in the corresponding disassembly area and
The result of decomposition by the factor “x” is “(2y ² + 2y) x ²
+ ... ”(Steps A9 → A10 → A1
1 → A12).

Here, the latest decomposition expression "(2y ² +2)" stored in the decomposition expression area of the factor decomposition register 14c.
y) x ² + ... ”, for example, the“ factorization ”key 12c
The input expression “2x ² y ² ...” That has been processed in advance at the time of the operation and stored in the work area in the RAM 14.
Is compared with the answer of the factorization to determine whether or not the decomposition is completed (step A13).

In this case, the latest decomposition expression "(2y ² + 2y) x ² stored only in the decomposition expression area of the factor decomposition register 14c and rearranged in descending order by the designated factor" x ".
+ ... ”does not match the answer of the factorization, and if it is determined that the factorization is not completed, the designated factor“ x ”and the decomposition formula based on the specified factor“ x ”are kept displayed (step A13 → end). .

In this case, since factorization can be further performed, for example, as shown in FIG. 5 (A), "delete" in the decomposition menu is selected by operating the cursor, and the data input key 12a is operated. When an arbitrary factor “(x + y)” is input and specified, it is determined that the flag “1” is set in the decomposition flag register F, and
The designated factor “(x + y)” is written into the factor area at the next stage of the factor decomposition register 14c (step A).
1 → A2 → A8).

Then, the "execute" key 12d is operated, and the current latest decomposition expression "(2y ² + 2y) x ² +..." Stored in the decomposition expression area at the preceding stage of the factor decomposition register 14c.
When the user designates the start of the decomposition by the specified factor "(x + y)", it is determined that the flag "1" is set in the decomposition flag register F, and that "Culture" is selected in the decomposition menu. It is determined, and the latest decomposition expression “(2y ² + 2y) x ² stored in the decomposition expression area at the preceding stage of the factor decomposition register 14c.
+ ... "are extracted by the designated factor" (x + y) "stored in the factor area at the next stage of the register 14c, stored in the corresponding decomposable area, and displayed on the liquid crystal display unit 16 as the factor" (x + y) ". "2xy
(X + y) -... "(Step A9 → A
10 → A14 → A15).

Also in this case, the factorization register 14c
Designated factor "(x + y)" stored in the decomposition formula area of
The latest decomposition formula "2xy (x + y)-
... ”and the answer of the factorization do not match, and it is determined that the factorization has not been completed, so the designated factor“ (x +
y) ”and the decomposition formula“ 2xy (x + y) −... ”are kept displayed (step A13 → end).

Further, for example, as shown in FIG. 5B, with the decomposition factor menu of "Category" in which the designated factor is "(x + y)", "Execute" is performed.
When the key 12d is operated, it is determined that the flag "1" has been set in the disassembly flag register F, and it is also determined that "cut-out" has been selected in the disassembly menu. The latest decomposition formula "2xy (x + y) -..." stored in the decomposition formula area
Is extracted by the designated factor "(x + y)" newly stored in the factor area of the next stage of the register 14c, stored in the corresponding decomposable area, and displayed on the liquid crystal display unit 16 with the same factor "(x + y)". "
+ Y) (2xy ² +...) (Step A
9 → A10 → A14 → A15).

Also in this case, the factorization register 14c
Of the same designated factor “(x +
y) ”, the latest decomposition formula“ (x + y)
(2xy ² +...) Does not match the answer of the factorization, and it is determined that the factorization is not completed. Therefore, the designated factor “(x + y)” and the decomposition equation “(x + y) (2
xy ² + ... ”is displayed (step A
13 → End).

Further, since factorization can be performed, for example, as shown in FIG. 5 (C), the data input key 12a is depressed while the cursor is operated to select "CREATE" in the decomposition menu. When a new arbitrary factor "(y + 1)" is input and designated by operating, it is determined that the flag "1" is set in the decomposition flag register F, and the factor area of the next stage of the factor decomposition register 14c is set. On the other hand, the designated factor “(y + 1)” is written (step A1 → A2 → A8).

Then, as shown in FIG. 5D, the "execute" key 12d is operated, and the current latest decomposition expression "(x +
y) Designated factor “(y + 1)” for (2xy ² +...)
When it is instructed to start the disassembly of the disassembly, it is determined that the flag "1" is set in the disassembly flag register F, and it is also determined that "Draft" is selected in the disassembly menu. Disassembly register 14
The latest decomposition expression “(x + y) (2xy ² +...)” stored in the decomposition expression area of the previous stage of “c” is extracted by the designated factor “(y + 1)” stored in the factor area of the next stage of the register 14c. The result is stored in the corresponding disassembly expression area and displayed on the liquid crystal display unit 16 as the disassembly result “(x + y) ｛(2xy (y +...)” By the factor “(y + 1)” (steps A9 → A10 → A14 → A15). ).

Also in this case, the factorization register 14c
Designated factor "(y + 1)" stored in the decomposition formula area of
The latest decomposition formula “(x + y) ｛(2x
y (y +...) and the answer of the factorization do not match, and it is determined that the factorization is not completed. Therefore, the designated factor “(y + 1)” and the decomposition equation “(x + y) ｛(2
xy (y +...) is kept displayed (step A13 → end).

Further, for example, as shown in FIG. 5E, with the decomposition factor menu of "Category" with the designated factor set to "(y + 1)", "Execute"
When the key 12d is operated, it is determined that the flag "1" has been set in the disassembly flag register F, and it is also determined that "cut-out" has been selected in the disassembly menu. The latest decomposition formula “(x + y) ｛(2xy) stored in the decomposition formula area
(Y +...) Are extracted by the designated factor “(y + 1)” newly stored in the factor area at the next stage of the register 14 c, stored in the corresponding decomposable area and the same factor in the liquid crystal display unit 16. The result of decomposition by “(y + 1)” is displayed as “(x + y) (2xy−1) (y + 1)” (steps A9 → A10 → A14 → A15).

Then, the same designated factor "(y + 1)" stored in the decomposition formula area of the factor decomposition register 14c.
The latest decomposition formula "(x + y) (2xy
−1) (y + 1) ”and the answer of the factorization match, and it is determined that the decomposition is completed. Therefore, the latest decomposition result“ (x + y) (2xy−1) (y + 1) ”is the answer“ OK ”. Is added and displayed (steps A13 → A16).

As described above, the user designates an arbitrary factor and executes the factorization process stepwise with respect to the integer expression to be factorized. It is possible to derive a realistic answer and to learn experientially the process of actually decomposing by a factor.

FIG. 6 is a diagram showing an operation display state in a case where the designated factor is changed and re-decomposition processing is performed in accordance with the factor decomposition mode processing of the computer. As shown in FIG. 6A, in a state where an arbitrary integer expression “2x ² y ² ...” To be factorized is input and displayed (steps A1 to A3),
As described above, as shown in FIG. 6B, the user operates the "factor decomposition" key 12c of the key input unit 12 to display the decomposition menu (steps A4 to A7), and selects, for example, "organize in descending order". When an arbitrary factor "y" is designated (steps A1->A2-> A8) and the "execute" key 12d is operated, it is determined that the flag "1" is set in the disassembly flag register F, and keep decomposition menu is determined to be "organized in descending order" is selected, the specified factor that polynomial stored in the input expression register 14b "2x ² y ² ..." is stored in the factor area of factoring register 14c "y" Are sorted in descending order, stored in the corresponding decomposition formula area, and displayed on the liquid crystal display unit 16 as the decomposition result “2xy ³ + (2x ² + 2x−1) y ² + by the factor“ y ”.
(Steps A9 → A10 → A11)
→ A12).

In this case, the latest decomposition expression "2xy ³ + (2x ² +) stored only in the decomposition expression area of the factor decomposition register 14c and arranged only in descending order by the designated factor" y ".
2x-1) y ² +... ”And the answer of the factorization do not match, it is determined that the factorization is not complete, and the designated factor“ y ”and the factorization formula based on it are kept displayed (step A13 → End).

Here, for example, the decomposition result “2xy ³ + (2x ² + 2x−1) y ² +...” By the designated factor “y” is used.
Is not satisfactory, and thus, in order to redo the decomposition processing in which a different factor is newly specified for the initial input expression, the return key “△” 12g is operated as shown in FIG. The latest decomposition formula “2xy ³ + (2x ² + 2x−1) y ² + stored in the decomposition register 14 c
.. ", The input expression register 14b in this case.
Early polynomial stored "2x ² y ² ..." is read out and displayed again on the LCD display unit 16 (step A17
→ A18).

Then, as shown in FIG. 6 (D), a new "factory" of the disassembly menu is selected by operating the cursor, and a new factor "(x + y)" is input by operating the data input key 12a. Then, it is determined that the flag "1" is set in the decomposition flag register F, and the specified factor "(x + y)" is written to the factor area of the next stage of the factor decomposition register 14c (step A1). → A2 → A8).

When the "execute" key 12d is operated, it is determined that the flag "1" has been set in the disassembly flag register F, and it is also determined that "mechanism" has been selected in the disassembly menu. The initial integer expression “2x ² y ² ” stored in the input expression register 14b
.. Are extracted by the designated factor "(x + y)" newly stored in the factor area of the factor decomposition register 14c, stored in the corresponding decomposition formula area, and displayed on the liquid crystal display unit 16 with the factor "(x + y)". The result of decomposition by
(X + y) -... "(Step A9 → A
10 → A14 → A15).

Also in this case, the factorization register 14c
Designated factor "(x + y)" stored in the decomposition formula area of
The latest decomposition formula "2xy (x + y)-
... ”and the answer of the factorization do not match, and it is determined that the factorization has not been completed, so the designated factor“ (x +
y) ”and the decomposition equation“ 2xy (x + y) −... ”are kept displayed (step A13 → end).

On the other hand, for example, by operating the return key "@" 12g of the key input unit 12 and returning the latest disassembly formula displayed on the liquid crystal display unit 16 to the former disassembly formula,
Conversely, when the advance key "@" 12h is operated, the latest disassembly formula at the subsequent stage is read out and displayed again (steps A19 → A20).

As described above, the user can display a decomposition equation of a desired decomposition stage by operating the return key "$" 12g or the advance key "$" 12h in a certain factor decomposition process. It is possible to newly select and redesign the decomposition menu and the designated factor, and execute the decomposition processing considered to be the best.

FIG. 7 is a diagram showing an operation display state in a case where a decomposition process for deriving and displaying a correct answer is performed while continuously displaying a decomposition process accompanying the factor decomposition mode process of the computer.

[0051] As shown in FIG. 7 (A), any polynomial should factoring "2x ² y ² ..." in a state where the input display as Azukashiki (step A1 to A3), "Ans" key 12
When e is operated, the factorization process by the predetermined common factor extraction process is continuously performed, and
As shown in FIG. 7B, each decomposition equation obtained by factoring out the factors is sequentially updated and displayed as a factorization process (steps A21 → A22, A).
23, A24 → A23).

Then, when the final decomposition equation is obtained,
The decomposition expression of the answer is displayed together with the “end” message, and a series of factorization processing ends (step A24).
→ End).

As described above, the user operates the “Ans” key 12e after inputting the integer expression to be factorized, and
The decomposition formulas that are sequentially factorized can be continuously updated and displayed until an answer is obtained, and an appropriate decomposition process can be confirmed.

Therefore, according to the computer having the above-described configuration, when a desired integer expression to be factorized is input by a key and displayed, and the "factoring" key 12c is operated, an arbitrary factor is designated to draw out or descend. A disassembly menu for selecting one of the disassembly processes by rearranging is displayed.
Then, according to this disassembly menu, for example, by inputting and specifying an arbitrary factor for rearranging in order, and operating the "execute" key 12d, the inputted integer is disassembled and displayed by the descending order rearranging process based on the specified factor. "Execute" key 1 by designating an arbitrary factor for extracting
By operating 2d, the input integer formula is decomposed and displayed by the extraction processing by the designated factor, and the decomposition processing by the factor designation can be performed step by step until the answer is obtained. When the computer is used as an educational device, the user can experience the actual factorization process by experientially learning what factors can be used for efficient factorization.

The method described in the above embodiment, that is, the whole process of the computer shown in the flowchart of FIG. 2, the factor decomposition mode process shown in the flowchart of FIG. 3, and the like can be executed by a computer. As a memory card (ROM card,
RAM card, etc.), magnetic disk (floppy disk, hard disk, etc.), optical disk (CD-ROM,
DVD and the like, and can be stored in an external recording medium 18 such as a semiconductor memory and distributed. And the computer
The program recorded in the external recording medium 18 is read by the recording medium reading unit 17, and the operation is controlled by the read program, thereby realizing each function described in the above-described embodiment. Processing can be performed.

[0056]

As described above, according to the arithmetic unit according to the first aspect of the present invention, an arbitrary polynomial to be factored is input, and an arbitrary factor with respect to the input polynomial is input. When instructing to perform factorization, the input polynomial is factorized based on the input factor,
Since the input arbitrary integer expression, the input arbitrary factor, and the expression of the factorized result are displayed, the user can specify an arbitrary factor to execute the disassembling process. become.

Further, according to the arithmetic unit of the second aspect of the present invention, every time the execution of the factorization is instructed, the input integral equation is factorized stepwise based on the input factor. The input arbitrary formula, the input arbitrary factor, and the expression of the result of each step obtained by the stepwise factorization are respectively displayed, so that the user repeatedly designates any factor by the user. Stepwise decomposition processing can be performed. Therefore, the operation result of the factorization is not immediately displayed, but the process of actually decomposing by the factor can be learned through experience.

[Brief description of the drawings]

FIG. 1 is a block diagram showing a configuration of an electronic circuit of an electronic computer according to an embodiment of an arithmetic unit of the present invention.

FIG. 2 is a flowchart showing the overall processing of the computer.

FIG. 3 is a flowchart showing a factorization mode process in the computer.

FIG. 4 is a view showing an operation display state (part 1) when a stepwise decomposition process is performed by designating a factor accompanying the factor decomposition mode process of the computer.

FIG. 5 is a view showing an operation display state (part 2) when a stepwise decomposition process is performed by designating a factor accompanying the factor decomposition mode process of the computer.

FIG. 6 is a diagram showing an operation display state in a case where a designated factor is changed and re-decomposition processing is performed in accordance with the factor decomposition mode processing of the computer.

FIG. 7 is a view showing an operation display state when performing a decomposition process for deriving and displaying a correct answer while continuously displaying a decomposition process accompanying the factor decomposition mode process of the computer.

[Explanation of symbols]

 11: Control unit (CPU), 12: Key input unit, 12a: Data input key, 12b: "Menu" key, 12c: "Factor decomposition" key, 12d: "Execute" key, 12e: "Ans" key, 12f … Cursor keys “↑” “↓” “←” “→”, 12g… Return key “△”, 12h… Advance key “▽”, 13… ROM, 14… RAM, 14a… Display register, 14b… Input type register 14c: factor decomposition register, M: mode data register, F: decomposition flag register, 15: display drive circuit, 16: liquid crystal display unit.

Claims (4)

[Claims] An expression input means for inputting an arbitrary integer expression to be factored, a factor input means for inputting an arbitrary factor for an arbitrary expression inputted by the expression input means, and execution of the factorization. Execution instructing means for instructing, and decomposition processing for performing factorization of the polynomial input by the expression input means based on the factor input by the factor input means when execution of factorization is instructed by the execution instruction means. Means, and display means for displaying an arbitrary integer expression input by the expression input means, an arbitrary factor input by the factor input means, and an expression resulting from factorization by the decomposition processing means. An arithmetic unit characterized by the above-mentioned. 2. The method according to claim 1, wherein each time the execution instructing unit instructs execution of the factor decomposition, the decomposition processing unit performs a step of converting the integral expression input by the expression input unit based on the factor input by the factor input unit. Factoring means, wherein the display means comprises: any integer expression input by the expression input means, any factor input by the factor input means, and stepwise factorization by the decomposition processing means. The computing device according to claim 1, wherein the computing device is a display unit that displays the expression of the result of each of the stages. 3. A step of inputting an arbitrary polynomial to be factored, a step of inputting an arbitrary factor with respect to an arbitrary polynomial input by the equation input step, and a step of instructing execution of the factorization. When execution of factorization is instructed by the execution instruction step, a step of factorizing the integral equation input by the equation input step based on the factor input by the factor input step; and Displaying an input arbitrary formula, an arbitrary factor input in the factor input step, and an expression resulting from the factorization in the factorization processing step. 4. A computer comprising: an input unit for inputting an arbitrary integer to be subjected to factorization; an input unit for inputting an arbitrary factor for an arbitrary integer input by the input unit; execution of the factorization Execution instructing means for instructing the execution of the factorization by the execution instructing means. Means for displaying an arbitrary integer expression input by the expression input means, an arbitrary factor input by the factor input means, and an expression resulting from factorization by the decomposition processing means, as display means for displaying the respective factors. A medium on which the arithmetic control program of the above is recorded.