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 - Page 519: 11


a) $2r^{2}$ b) 5

Work Step by Step

Factors of $2r^{3}$ : 1 $\times$ 2 $\times$ r $\times$ r $\times$ r Factors of $12r^{2}$ : 3 $\times$ 2 $\times$ 2 $\times$ r $\times$ r a) They both have a 2 $\times$ r $\times$ r common, thus the greatest common factor of $2r^{3}$, $12r^{2}$, is $2r^{2}$ Factors of $5r$ : 5 $\times$ r Factors of 30: 2 $\times$ 3 $\times$ 5 b) They both have a 5 common thus the greatest common factor of 5r and 30 is 5
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