Answer
$(x+2)(x-32)$
Work Step by Step
The given expression, $
w^2-30w-64
,$ has $c=
-64
$ and $b=
-30
.$
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 $\{
2,-32
\}.$ Hence, the factored form is
\begin{array}{l}\require{cancel}
(x+2)(x-32)
.\end{array}