# Chapter 10 - Section 10.3 - Finding Binomial Factors - Exercise - Page 350: 4

$2(w+2)(w+8)$

#### 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.

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