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 - Page 270: 20

Answer

$(m+8)(5m+3)$

Work Step by Step

Separate all the terms into two sets of parentheses. Then find the greatest common factor of each set to factor. $5m^2+40m+3m+24$ $=(5m^2+40m)+(3m+24)$ $=5m(m+8)+3(m+8)$ $=(m+8)(5m+3)$
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