Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - Mid-Chapter Quiz - Page 510: 11



Work Step by Step

List factors of each term. Note the common factors. $16b^{4}=2\cdot 2\cdot(2\cdot 2)\cdot(b)\cdot b\cdot b\cdot b$ $8b^{2}=(2\cdot 2)\cdot 2\cdot(b)\cdot b$ $20b=(2\cdot 2)\cdot 5\cdot(b)$ GCF=$(2\cdot 2)\cdot(b)$, or $4b$. $16b^{4}+8b^{2}+20b$ = ...factor out the GCF from each term. $=4b(4b^{3})+4b(2b)+4b(5)$ ...apply the Distributive Property. =$4b(4b^{3}+2b+5)$
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