Can I factor a polynomial with a Casio fx-9750GII 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).
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.
Nov 11, 2010 |
Casio FX-9750GPlus Calculator