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Posted on Jan 02, 2017

There is no easy solution for a cubic equation such as this, unlike a quadratic equation which has a simple solution that we all learnt at secondary school.

Google for cubic or this gives a good explaination

http://www.mathcentre.ac.uk/resources/uploaded/mc-ty-cubicequations-2009-1.pdf

Google for cubic or this gives a good explaination

http://www.mathcentre.ac.uk/resources/uploaded/mc-ty-cubicequations-2009-1.pdf

Nov 27, 2014 | Casio FX-82MS Scientific Calculator

It depends on the degree of the polynomial.

If polynomial is od degree 2 or 3 you can use the EQN mode (the equation MODE) by pressing [MODE][5:EQN] to enter Equation mode then press [3] for quadratic polynomial or [4] for a cubic one.

You will then be prompted for the various coefficients. The canonical form of these polynomials is aX^2 plus bX plus c= 0, and aX^3 plus bX^2 plus cX plus d=0.

If polynomial is of degree higher than 3, or for a general non-linear equation you must use the Solve( feature. See example #017 on page 6 of the appendix to the manual.

If polynomial is od degree 2 or 3 you can use the EQN mode (the equation MODE) by pressing [MODE][5:EQN] to enter Equation mode then press [3] for quadratic polynomial or [4] for a cubic one.

You will then be prompted for the various coefficients. The canonical form of these polynomials is aX^2 plus bX plus c= 0, and aX^3 plus bX^2 plus cX plus d=0.

If polynomial is of degree higher than 3, or for a general non-linear equation you must use the Solve( feature. See example #017 on page 6 of the appendix to the manual.

Nov 28, 2010 | Casio FX-115ES Scientific Calculator

The short story is that this calculator does have a computer algebra system or CAS and thus cannot factor polynomials with arbitrary (unknown) coefficients or known coefficients.

However if the coefficients are given you can ,if you are willing to travel that way, factor approximately a polynomial P(x).

Basically, the idea is that any polynomial P(X) of degree n can be written in the factored form (X-x_1)(X-x_2)...(X-x_n), where x_1, x_2, x_3,...x_n are the roots (real or complex) of the equation P(X)=0.

The procedure ( for a 3rd degree polynomial) is as follows: (the fixYa site parser will remove the plus signs, so I am writing the whole word plus instead of the mathematical sign

If you want to factor a cubic polynomial P3(X) = aX^3 plus bX^2 plus cX plus d , you write the corresponding cubic equation as**aX^3 plus bX^2 plus cX plus d =0** , then you divide all terms of the equation by** a** to obtain

**X^3 plus (b/a)X^2 plus (c/a)X plus (d/a)=0.**

You use the calculator to solve (approximately) this equation.

Suppose you find the 3 roots**X1,X2,and X3.**
Then the polynomial X^3 plus (b/a)X^2 plus (c/a)X plus (d/a) can be cast in the
factored form (X-X1)(X-X2)(X-X3) and the original polynomial P3(X) can
be written as

**P3(X) = a*(X-X1)(X-X2)(X-X3) **

You can handle the quadratic polynomial the same way.

P2(X) =a*(X-X1)(X-X2) where X1, X2 are the two real roots.

To find the various roots you must use the solve( application.

However if the coefficients are given you can ,if you are willing to travel that way, factor approximately a polynomial P(x).

Basically, the idea is that any polynomial P(X) of degree n can be written in the factored form (X-x_1)(X-x_2)...(X-x_n), where x_1, x_2, x_3,...x_n are the roots (real or complex) of the equation P(X)=0.

The procedure ( for a 3rd degree polynomial) is as follows: (the fixYa site parser will remove the plus signs, so I am writing the whole word plus instead of the mathematical sign

If you want to factor a cubic polynomial P3(X) = aX^3 plus bX^2 plus cX plus d , you write the corresponding cubic equation as

You use the calculator to solve (approximately) this equation.

Suppose you find the 3 roots

You can handle the quadratic polynomial the same way.

P2(X) =a*(X-X1)(X-X2) where X1, X2 are the two real roots.

To find the various roots you must use the solve( application.

Nov 11, 2010 | Casio FX-9750GPlus Calculator

The short story is that this calculator does have a computer algebra system or CAS and thus cannot factor polynomials with arbitrary (unknown) coefficients or known coefficients.

However if the coefficients are given you can ,if you are willing to travel that way, factor approximately a polynomial P(x).

Basically, the idea is that any polynomial P(X) of degree n can be written in the factored form (X-x_1)(X-x_2)...(X-x_n), where x_1, x_2, x_3,...x_n are the roots (real or complex) of the equation P(X)=0.

The procedure ( for a 3rd degree polynomial) is as follows:

If you want to factor a cubic polynomial P3(X) = aX^3 bX^2 cX d , you write the corresponding cubic equation as**aX^3 bX^2 cX d =0** , then you divide all terms of the equation by** a** to obtain

**X^3 (b/a)X^2 (c/a)X (d/a)=0.**

You use the calculator to solve (approximately) this equation.

Suppose you find the 3 roots**X1,X2,and X3.**
Then the polynomial X^3 (b/a)X^2 (c/a)X (d/a) can be cast in the
factored form (X-X1)(X-X2)(X-X3) and the original polynomial P3(X) can
be written as

**P3(X) = a*(X-X1)(X-X2)(X-X3) **

You can handle the quadratic polynomial the same way.

P2(X) =a*(X-X1)(X-X2) where X1, X2 are the two real roots.

However if the coefficients are given you can ,if you are willing to travel that way, factor approximately a polynomial P(x).

Basically, the idea is that any polynomial P(X) of degree n can be written in the factored form (X-x_1)(X-x_2)...(X-x_n), where x_1, x_2, x_3,...x_n are the roots (real or complex) of the equation P(X)=0.

The procedure ( for a 3rd degree polynomial) is as follows:

If you want to factor a cubic polynomial P3(X) = aX^3 bX^2 cX d , you write the corresponding cubic equation as

You use the calculator to solve (approximately) this equation.

Suppose you find the 3 roots

You can handle the quadratic polynomial the same way.

P2(X) =a*(X-X1)(X-X2) where X1, X2 are the two real roots.

Sep 11, 2010 | Casio FX-9750GPlus Calculator

Use the DRAW program.

Press [2nd][PRGM] (DRAW)

Select [9:Circle (]

Command echoes on main screen

Complete the command with coordinates of the center and the radiius

Close parenthesis and press [ENTER]

The circle is displayed.

Ex: Circle(0,3,2) draw a circle with cntere at (0,3) and radius equal to 2.

Alternatively: If the conics application is on the calculator run it.

Press [APPS]

Select [Conics]

Select [1:CIRCLE]

Choose the canonical form (X-H)^2 + (Y-K)^2=R^2 where H, and K are the coordinates of the center and R is the radius.

You will be prompted to enter the values for H,K, and R

You can also use the general equation for a circle aX^2 +aY^2+BX+CY +D=0

Enter the values of a, B, C and D.Change the values to get what you want.

Press [2nd][PRGM] (DRAW)

Select [9:Circle (]

Command echoes on main screen

Complete the command with coordinates of the center and the radiius

Close parenthesis and press [ENTER]

The circle is displayed.

Ex: Circle(0,3,2) draw a circle with cntere at (0,3) and radius equal to 2.

Alternatively: If the conics application is on the calculator run it.

Press [APPS]

Select [Conics]

Select [1:CIRCLE]

Choose the canonical form (X-H)^2 + (Y-K)^2=R^2 where H, and K are the coordinates of the center and R is the radius.

You will be prompted to enter the values for H,K, and R

You can also use the general equation for a circle aX^2 +aY^2+BX+CY +D=0

Enter the values of a, B, C and D.Change the values to get what you want.

Apr 01, 2010 | Texas Instruments TI-83 Plus Calculator

Hello,

Set the [Mode] to [3:STAT]. You are offered the choices

1:1-Var

2:A+BX

3:__+cX^2

etc.

I**f you want to do 1-Var statistics**, you press 1:1-Var. A column template opens where you put the X values. If a value is repeated you enter it several times. (there is no frequency column.)

When you enter all data you press [SHIFT][STAT]

You have several choices among them

4: SUM to get SigmaX^2 and Sigma X

5: VAR to get n, the mean X bar, the sample and population standard deviations

6:MINIMAX to get MinX and MaxX

7: Distr the Distributions.

I**f you want to perform 2-Var statistics**

You press [MODE][STAT] and select one of the Regression models

2:A+BX

3:__+cX^2

etc.

The selection of any of the 7 regression models, opens a two-column template where you enter the X and Y values

When finished press [SHIFT][STAT]

The choices offered are

The variance is the SQUARE of the Standard Deviation.

Hope it helps.

Set the [Mode] to [3:STAT]. You are offered the choices

1:1-Var

2:A+BX

3:__+cX^2

etc.

I

When you enter all data you press [SHIFT][STAT]

You have several choices among them

4: SUM to get SigmaX^2 and Sigma X

5: VAR to get n, the mean X bar, the sample and population standard deviations

6:MINIMAX to get MinX and MaxX

7: Distr the Distributions.

I

You press [MODE][STAT] and select one of the Regression models

2:A+BX

3:__+cX^2

etc.

The selection of any of the 7 regression models, opens a two-column template where you enter the X and Y values

When finished press [SHIFT][STAT]

The choices offered are

- T
**yp**e takes you back to select type of statistics to perform **Data**To edit the data in the columns**Edit**To insert or delete a value**SUM**To access the calculated values of SigX^2,SigX,SigY^2,SigY,SigXY,SigX^3, SigX^2Y, SigX^4**Va**r : To access the calculated values n, Xbar, Sample STD for x, S STD for Y, Pop STD for X, and Pop STD for Y**MinMax**: MinX, MinY, MaxX, MaxY**Reg**: Gives you the regression coefficients for the particular regression model you want to test.

The variance is the SQUARE of the Standard Deviation.

Hope it helps.

Nov 06, 2009 | Casio fx-300ES Calculator

Hello,

Th CFX-9850GB Plus is programmed to perform 10 types of regressions, namely

LinearReg: Linear y=ax+b

Med-Med also linear y=ax+b

QuadReg :Quadratic y= ax^2+bx+c

Cubic: y=ax^3+bx^2+cx+d

Quartic: y=ax^4+bx^3+cx^2+dx+e

LogReg, logarithmic: y=a+b*ln(x)

ExpReg, exponential y=a*e^(bx)

PowerReg, power: y= ax^b

SinReg, sinusoidal: y=a*sin(bx+c) +d

LogisticReg, logistic; y= c/(1+a*e^(-bx))

There may be more regression models appropriate for more advanced (specialized) statistics but the ones in the list are all the CFX-9850GB plus offers. However, since the calculator knows a programming language, you may want to implement a particular model.

Hope that helps.

Th CFX-9850GB Plus is programmed to perform 10 types of regressions, namely

LinearReg: Linear y=ax+b

Med-Med also linear y=ax+b

QuadReg :Quadratic y= ax^2+bx+c

Cubic: y=ax^3+bx^2+cx+d

Quartic: y=ax^4+bx^3+cx^2+dx+e

LogReg, logarithmic: y=a+b*ln(x)

ExpReg, exponential y=a*e^(bx)

PowerReg, power: y= ax^b

SinReg, sinusoidal: y=a*sin(bx+c) +d

LogisticReg, logistic; y= c/(1+a*e^(-bx))

There may be more regression models appropriate for more advanced (specialized) statistics but the ones in the list are all the CFX-9850GB plus offers. However, since the calculator knows a programming language, you may want to implement a particular model.

Hope that helps.

Oct 24, 2009 | Casio CFX 9850GB Plus Calculator

Hello,

The Casio FX-300ES does not handle symbolic algebra. So it cannot factor a general polynomial expression. The methods can be found in any book on Algebra.

However if you are interested in approximate factorization of quadratic and cubic polynomials, you can use the calculator to do that. It can solve aX^3 +bX^2+cX+d =0 and the quadratic equations.

If you want to factor a cubic polynomial P3(X) = aX^3+bX^2+cX+d , you write the corresponding cubic equation as**aX^3+bX^2+cX=d =0** , then you divide all terms of the equation by** a** to obtain

**X^3+(b/a)X^2+(c/a)X+(d/a)=0.**

You use the calculator to solve (approximately) this equation.

Suppose you find the 3 roots**X1,X2,and X3.** Then the polynomial X^3+(b/a)X^2+(c/a)X+(d/a) can be cast in the factored form (X-X1)(X-X2)(X-X3) and the original polynomial P3(X) can be written as

**P3(X) = a*(X-X1)(X-X2)(X-X3) **

You can handle the quadratic polynomial the same way.

P2(X) =a*(X-X1)(X-X2) where X1, X2 are the two real roots

Hope it helps.

The Casio FX-300ES does not handle symbolic algebra. So it cannot factor a general polynomial expression. The methods can be found in any book on Algebra.

However if you are interested in approximate factorization of quadratic and cubic polynomials, you can use the calculator to do that. It can solve aX^3 +bX^2+cX+d =0 and the quadratic equations.

If you want to factor a cubic polynomial P3(X) = aX^3+bX^2+cX+d , you write the corresponding cubic equation as

You use the calculator to solve (approximately) this equation.

Suppose you find the 3 roots

You can handle the quadratic polynomial the same way.

P2(X) =a*(X-X1)(X-X2) where X1, X2 are the two real roots

Hope it helps.

Sep 27, 2009 | Casio fx-300ES Calculator

Hello,

I am afraid I am missing something here. You can start with the expression of a function and have it graphed on a graphing calculator.

Or you can enter the experimental data, represent them on a graphing calculator and ask the calculator to find the curve that fits the data best, and once that curve is found to give you the equation.

However your calculator does not have the graphing capabilities. All you can do is enter the data and ask the calculator to perform a regression to obtain the expression of the function that fits best.

The available options for the calculator are accessible by pressing [MODE][3:Stat] and

2. A+BX linear

3: _+cX^2 quadratic

4: ln X logarithmic

5: e^X exponential

6:A*B^X power

7: A*X^B Polynomial

8: 1/X

Hope it helps.

I am afraid I am missing something here. You can start with the expression of a function and have it graphed on a graphing calculator.

Or you can enter the experimental data, represent them on a graphing calculator and ask the calculator to find the curve that fits the data best, and once that curve is found to give you the equation.

However your calculator does not have the graphing capabilities. All you can do is enter the data and ask the calculator to perform a regression to obtain the expression of the function that fits best.

The available options for the calculator are accessible by pressing [MODE][3:Stat] and

2. A+BX linear

3: _+cX^2 quadratic

4: ln X logarithmic

5: e^X exponential

6:A*B^X power

7: A*X^B Polynomial

8: 1/X

Hope it helps.

Apr 14, 2009 | Casio fx-300ES Calculator

You have two methods for drawing a circle on the FX-9750GPlus.

- Use the Conics graphing: The general equation of a circle is aX^2 + aY^2 + bX+cY+d=0
- Use the function graphing. But before you can do that you must transform the general equation (above) in such a way that you can write it as Y^2= X^2+EX+F. From this you can find the two branches Y1=SQRT(X^2+EX+F) and Y2=-SQRT(X^2+EX+F)

Oct 09, 2007 | Casio FX-9750GPlus Calculator

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