Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Practice and Problem-Solving Exercises: 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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