Answer
$3(x+2)(x-1)$.
Work Step by Step
The given polynomial is
$=3x^2+3x-6$
Factor out $3$.
$=3(x^2+x-2)$
Rewrite $x$ as $2x-x$.
$=3(x^2+2x-x-2)$
Group the terms.
$=3[(x^2+2x)+(-x-2)]$
Factor each group.
$=3[x(x+2)-1(x+2)]$
Factor out $(x+2)$.
$=3(x+2)(x-1)$
Hence, the factor of the polynomial is $3(x+2)(x-1)$.
