## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Practice and Problem-Solving Exercises - Page 528: 64

#### Answer

$(3x-5)(4x-7)$

#### Work Step by Step

Find factors of $ac$ that have a sum of $b$. Since $ac=420$ and $b=-41$, find negative factors of $420$ with a sum of $-41$. These factors are $-20$ and $-21$. $12x^{2}-41x+35$ ...use the factors to rewrite $bx$. $=12x^{2}-20x-21x+35$ ...factor out the GCF out of each pair of terms. $=4x(3x-5)-7(3x-5)$ ...use the Distributive Property. $=(3x-5)(4x-7)$

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