Answer
$2(w+2)(w+8)$
Work Step by Step
All the coefficients are divisible by 2. Factor out the 2 and then factor the new trinomial.
$2s^2+20w+32=2(w^2+10w+16)$
The first term in each binomial must be w, since $w^2$ has no coefficient.
The operation in each binomial must be addition, since each term in the trinomial is positive.
$2+8=10$ and $2\times8=16$, so the other two terms are 2 and 8.