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