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: 57

Answer

$(2x+1)(x-5)$

Work Step by Step

Using factoring by grouping, the factored form of the given expression, $ 2x^2+x-10x-5 ,$ is \begin{array}{l}\require{cancel} (2x^2+x)-(10x+5) \\\\= x(2x+1)-5(2x+1) \\\\= (2x+1)(x-5) .\end{array}
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