Algebra 1

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

Chapter 8 - Polynomials and Factoring - 8-2 Multiplying and Factoring - Practice and Problem-Solving Exercises: 37

Answer

$17xy^3(y+3x)$

Work Step by Step

Find the greatest common factor. Find the prime factors of each term and multiply the factors that are common to all the terms. $17xy^4=\underline{17}\times\underline x\times\underline y\times\underline y\times\underline y\times y$ $51x^2y^3=\underline{17}\times3\times\underline x\times x\times\underline y\times\underline y\times\underline y$ GCF$=17\times x\times y\times y\times y=17xy^3$ Factor the GCF out of each term. Use the factors from each term that are not part of the GCF. $17xy^4+51x^2y^3=17xy^3(y+3x)$
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