Question

question
factor completely:
$216x - 3x^2 - 3x^3$

Explanation:

Step1: Rearrange terms by degree

$-3x^3 - 3x^2 + 216x$

Step2: Factor out GCF $-3x$

$-3x(x^2 + x - 72)$

Step3: Factor quadratic trinomial

Find two numbers: $9$ and $-8$, since $9 \times (-8) = -72$ and $9 + (-8) = 1$.
$-3x(x + 9)(x - 8)$

Answer:

$-3x(x + 9)(x - 8)$