Answer
$2(x-9)(x+2)$
Work Step by Step
Factoring the $GCF=
2
,$ the given expression is equivalent to
\begin{array}{l}\require{cancel}
2x^2-14x-36
\\\\=
2(x^2-7x-18)
.\end{array}
Using the factoring of trinomials in the form $x^2+bx+c,$ the $\text{
expression
}$
\begin{array}{l}\require{cancel}
2(x^2-7x-18)
\end{array} has $c=
-18
$ and $b=
-7
.$
The two numbers with a product of $c$ and a sum of $b$ are $\left\{
-9,2
\right\}.$ Using these two numbers, the $\text{
expression
}$ above is equivalent to
\begin{array}{l}\require{cancel}
2(x-9)(x+2)
.\end{array}
