Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - 3.4 Factoring Polynomials - 3.4 Exercises: 78

Answer

$(3a+5)(2a+7b)$

Work Step by Step

Group the four terms into two sets of parentheses and pull out the greatest common factors in each. $6a^2+10a+21ab+35b$ $=(6a^2+10a)+(21ab+35b)$ $=2a(3a+5)+7b(3a+5)$ $=(3a+5)(2a+7b)$
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