Answer
$3(3v+2)(2v-3)$.
Work Step by Step
The given polynomial is
$=18v^2-15v-18$
Factor out $3$.
$=3(6v^2-5v-6)$
Rewrite $-5v$ as $4v-9v$.
$=3(6v^2+4v-9v-6)$
Group the terms.
$=3[(6v^2+4v)+(-9v-6)]$
Factor each group.
$=3[2v(3v+2)-3(3v+2)]$
Factor out $(3v+2)$.
$=3(3v+2)(2v-3)$
Hence, the factor of the polynomial is $3(3v+2)(2v-3)$.
