Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter R - Elementary Algebra Review - R.5 Polynomials and Factoring - R.5 Exercise Set: 11

Answer

$(m+6)(m+7)$

Work Step by Step

Using the factoring of trinomials in the form $x^2+bx+c,$ the given expression, $ m^2+13m+42 ,$ has $c$ equal to $ 42 $ and $b$ equal to $ 13 .$ The two numbers that give a product of $c$ and a sum of $b$ are $\{ 6,7 \}.$ Hence, the factored form of the expression above is \begin{array}{l}\require{cancel} (m+6)(m+7) .\end{array}
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