Question

Express the polynomial as a product of linear factors.

f(x) = 3x2 + 12x2 + 3.1 - 18

A. (x-2)(x+3)(x-3)

B. (x + 3)(x+6)(x - 1)

C. (x - 3)(x+3)(x-2)

D. 3(x - 1)(x+3)(x + 2)

Answer 1

D. 3(x - 1)(x+3)(x + 2).

Explanation:

3(x - 1)(x + 3)(x + 2)

= 3(x - 1)(x^2 + 5x + 6)

= 3(x^3 + 5x^2 + 6x - x^2 - 5x - 6)

= 3(x^3 + 4x^2 + x - 6)

= 3x^3 + 12x^2 + 3x - 18.