Answer
$3(x+3)(x-2)$
Work Step by Step
All terms are divisible by $3$, so factor out $3$ to obtain:
$=3(x^2+x-6)$
Factor the trinomial. Look for factors of $-6$ whose sum is $1$. These factors are $3$ and $-2$.
This means that the trinomial can be factored as $(x+3)(x-2)$.
Thus, the completely factored form of the given polynomial is:
$=3(x+3)(x-2)$
