Question

Factor x^3 – 3x^2 – 4x + 12 completely using long division if (x – 2) is a factor.

A.) (x – 2)(x – 2)(x + 3)

B.) (x – 2)(x + 2)(x + 3)

C.) (x – 2)(x + 2)(x – 3)

D.) (x – 2)(x – 2)(x – 3)

*please show any and all work, thank you!*

Answer 1

(x-2)(x+2)(x-3)

Explanation:

do long division to get x^2-x-6 which is also (x-+2)(x-3)

Answer 2

Answer: B. (x-2) (x+2) (x+3)