Answer
$(x-4)(x+16)$
Work Step by Step
The given expression, $
w^2+12w-64
,$ has $c=
-64
$ and $b=
12
.$
The possible factors of $c$ are $
\{ 1,-64 \}
,\{ 2,-32 \}
,\{ 4,-16 \}
,\{ 8,-8 \}
,\{ -1,64 \}
,\{ -2,32 \}
,\{ -4,16 \}
$. Among these factors, the pair whose sum is equal to $b$ is $\{
-4,16
\}.$ Hence, the factored form is
\begin{array}{l}\require{cancel}
(x-4)(x+16)
.\end{array}
