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}
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
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: 57
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