Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.1 - Factoring by Using the Distributive Property - Problem Set 6.1 - Page 243: 54

Answer

$(x+3)(x+7)$

Work Step by Step

Using factoring by grouping, the factored form of the given expression, $ x^2+3x+7x+21 ,$ is \begin{array}{l}\require{cancel} (x^2+3x)+(7x+21) \\\\= x(x+3)+7(x+3) \\\\= (x+3)(x+7) .\end{array}
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