Answer
$(3x+2)(x-6)$
Work Step by Step
Using factoring by grouping, the factored form of the given expression, $
3x^2+2x-18x-12
,$ is
\begin{array}{l}\require{cancel}
(3x^2+2x)-(18x+12)
\\\\=
x(3x+2)-6(3x+2)
\\\\=
(3x+2)(x-6)
.\end{array}