Answer
$2x(x-4)(x-3)$
Work Step by Step
All terms are divisible by $2x$, so factor out $2x$ to obtain:
$=2x(x^2-7x+12)$
Factor the trinomial. Look for factors of $12$ whose sum is $-7$. These factors are $-4$ and $-3$.
This means that the trinomial can be factored as $(x-4)(x-3)$.
Thus, the completely factored form of the given polynomial is:
$=2x(x-4)(x-3)$