Question

Which of the following represents the factorization of the trinomial below?

-2x3-14x2 - 12x
A. -2(x2 + 1)(x+6)
B. -202 + 1)(x-6)
C. -2x(x + 1)(x+6)
a
D. -2x(x + 1)(x-6)

Answer 1

-2(x + 1)(x + 6)

Explanation:

Please use " ^ " to denote exponentiation: -2x^3-14x^2 - 12x

Note that all three terms are evenly divisible by -2x, leaving the quotient x^2 + 7x + 6.

This quotient is also easily factored:

-2x^3-14x^2 - 12x = -2(x^2 + 7x + 6) = -2(x + 1)(x + 6)