## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 10 - Section 10.3 - Finding Binomial Factors - Exercise - Page 350: 9

#### Answer

$(x+8)(x+9)$

#### Work Step by Step

We need to factor: $x^2+17x+72$ The first term in each binomial must be $x$, since $x^2$ has no coefficient. The operation in each binomial must be addition, since each term in the trinomial is positive. Since $9+8=17$ and $9×8=72$, the other two terms are $9$ and $8$. Thus, we have: $x^2+17x+72=(x+8)(x+9)$

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