Question

Is g(x)= (x-2)(x-9)(x-1) the factored form of f(x)=x^3+8x^2-11x-18

Answer 1

We can check to see if (x - 2)(x - 9)(x - 1) is the factored form of x^3 + 8x^2 - 11x - 18 by using foil.

(x - 2)(x - 9)(x - 1)

(x - 2)x^2 - x - 9x + 9

Combine like terms.

(x - 2)x^2 - 10x + 9

FOIL again.

x^3 - 10x^2 + 9x - 2x^2 + 20x - 18

Combine like terms.

x^3 - 12x^2 + 29x - 18

The listed factors are not true factors of the given polynomial.