# Chapter 10 - Section 10.3 - Finding Binomial Factors - Exercise - Page 350: 11

$5(a+3)(a+4)$

#### Work Step by Step

Factor out the common factor of 5, then factor the resulting binomial. $5a^2+35a+60=5(a^2+7a+12)$ The first term in each binomial must be a, since $a^2$ has no coefficient. The operation in each binomial must be addition, since each term in the trinomial is positive. $3+4=7$ and $3\times4=12$, so the other two terms are 3 and 4. Since the two binomials contain the same expression they are written with an exponent of 2,

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