Question about 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.
Posted on Oct 01, 2010
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Posted on Jan 02, 2017
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