Answer
$2(x-8)(x+7)$
Work Step by Step
Factor out $2$ to obtain:
$=2(x^2-x-56)$
The leading coefficient of the trinomial is 1.
Factor the trinomial by looking for the factors of the constant term $(-56)$ whose sum is equal to the coefficient of the middle term $(-1)$.
Note that $-56=-8(7)$ and $-8+7 = -1$.
Thus, the factors we are looking for are $-8$ and $7$.
This means that the factors of the trinomial are: $x-8$ and $x+7$
Therefore the completely factored form of the given polynomial is:
$=2(x-8)(x+7)$
