Question

6.4 trinomials where a do
(1 point)
factor:
$4x^3 - 4x^2 - 24x =$
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Explanation:

Step1: Factor out GCF

The greatest common factor of $4x^3$, $-4x^2$, and $-24x$ is $4x$.
$4x^3 - 4x^2 - 24x = 4x(x^2 - x - 6)$

Step2: Factor quadratic trinomial

Find two numbers that multiply to $-6$ and add to $-1$: $-3$ and $2$.
$x^2 - x - 6 = (x - 3)(x + 2)$

Step3: Combine factors

$4x(x - 3)(x + 2)$

Answer:

$4x(x - 3)(x + 2)$