Answer
The factor of the given polynomial is $3(x+6)(x-2)$.
Work Step by Step
The given polynomial is
$=3x^2+12x-36$
Factor out $3$.
$=3(x^2+4x-12)$
Rewrite $4x$ as $6x-2x$.
$=3(x^2+6x-2x-12)$
Group the terms.
$=3[(x^2+6x)+(-2x-12)]$
Factor each group.
$=3[x(x+6)-2(x+6)]$
Factor out $(x+6)$.
$=3(x+6)(x-2)$
Hence, the factor of the given polynomial is $3(x+6)(x-2)$.
