## Algebra 1

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Practice and Problem-Solving Exercises - Page 519: 12

#### Answer

a) $3p^{2}$ b) 1

#### Work Step by Step

Factors of $6p^{3}$ : 3 $\times$ 2 $\times$ p $\times$ p $\times$ p Factors of $3p^{2}$ : 3 $\times$ p $\times$ p a) They both have a 3 $\times$ p $\times$ p common, thus the greatest common factor of $6p^{3}$, $3p^{2}$, is $3p^{2}$ Factors of $2p$ : 2 $\times$ 1 $\times$ r Factors of 1: 1 $\times$ 1 b) They both have a 1 common thus the greatest common factor of 2p and 1 is 1

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