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

Question

Mathematics

Pamela Ellis

27 April, 18:19

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

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Answers (1)

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Lukas Gilmore · 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.