Answer
$8x^2(4+2x-3x^3)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To factor the given expression, $
32x^2+16x^3-24x^5
,$ factor the $GCF.$
$\bf{\text{Solution Details:}}$
The $GCF$ of the terms in the given expression is $
8x^2
,$ since it is the greatest expression that can divide all the terms evenly (no remainder.) Factoring the $GCF$ results to
\begin{array}{l}\require{cancel}
8x^2(4+2x-3x^3)
.\end{array}