Which of the following represents the factorization of the trinomial below? - 4x3 - 4x2 +24 x
O A. -4(x2-2)(x+3)
B. -4(x2 + 2)(x+3)
O C. -4x(x + 2)(x+3)
D. -4x(x - 2)(x+3)

D. -4x(x - 2)(x+3)

Step-by-step explanation:

We are given the following trinomial:

-4x is the common term, so:

The second degree polynomial can also be factored, finding it's roots.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

.

This polynomial has roots such that , given by the following formulas:

x² + x - 6

Quadratic equation with

So

So

The complete factorization is:

Thus the correct answer is given by option d.

answer: i'm not sure

step-by-step explanation: