# Chapter 10 - Section 10.3 - Finding Binomial Factors - Exercise - Page 350: 46

$(x+22)(x-5)$

#### Work Step by Step

$x^2+17x-110$ has no common monomial factor $=(\ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ )$ $=(x\ \ \ \ \ \ )(x\ \ \ \ \ \ )$ $=(x+\ )(x-\ )$ The factors of -110 must have unlike signs. $=(x+22)(x-5)$ 22 and -5 have a sum of 17 and a product of -110.

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