## Algebra 1

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Practice and Problem-Solving Exercises - Page 519: 13

#### Answer

a) $5q^{2}$ b) 1

#### Work Step by Step

Factors of $15q^{3}$ : 3 $\times$ 5 $\times$ q $\times$ q $\times$ q Factors of $40q^{2}$ : 2 $\times$ 2 $\times$ 2 $\times$ 5 $\times$ q $\times$ q a) They both have a 5 $\times$ q $\times$ q common, thus the greatest common factor of is $5q^{2}$ Factors of $3q$ : 3 $\times$ 1 $\times$ q Factors of 8: 1 $\times$ 2 $\times$ 2 $\times$ 2 b) They both have a 1 common thus the greatest common factor is 1

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