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 - 8-4 Multiplying Soecial Cases - Practice and Problem-Solving Exercises - Page 509: 71



Work Step by Step

List the factors of each term, note the common factors: $35x^{3}=5\cdot(7\cdot x)\cdot x\cdot x$ $7x^{2}=(7\cdot x)\cdot x$ $63x=3\cdot 3\cdot(7\cdot x)$ GCF=$(7\cdot x)$, or $7x$. $35x^{3}+7x^{2}+63x$ = ...factor out the GCF from each term. $=7x(5x^{2})+7x(x)+7x(9)$ ...apply the Distributive Property. =$7x(5x^{2}+x+9)$
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