## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 10 - Section 10.3 - Finding Binomial Factors - Exercise: 75

#### Answer

$(x+22)(x-8)$

#### Work Step by Step

$x^2+14x-176$ has no common monomial factors. =$(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$ =$(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$ =$(x+\ \ )(x-\ \ )$ The factors of -176 must have unlike signs. =$(x+22)(x-8)$ 22 and -8 have a sum of 14 and a product of -176.

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