Answer
$(3x-2)(6x+7)$
Work Step by Step
Find factors of $ac$ that have a sum of $b$.
Since $ac=-252$ and $b=9$, find factors of $-252 $ with a sum of $9$.
These factors are $21$ and $-12$.
$18x^{2}+9x-14$
...use the factors to rewrite $bx$.
$=18x^{2}+21x-12x-14$
...factor out the GCF out of each pair of terms.
$=3x(6x+7)-2(6x+7)$
...use the Distributive Property.
$=(3x-2)(6x+7)$