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 5 - Polynomials and Factoring - 5.3 Factoring Trinomials of the Type ax2+bx+c - 5.3 Exercise Set: 45

Answer

$(3x+2)(2x+5)$

Work Step by Step

Grouping the first and second terms and the third and fourth terms, the given expression is equivalent to \begin{array}{l}\require{cancel} 6x^2+4x+15x+10 \\\\= (6x^2+4x)+(15x+10) .\end{array} Factoring the $GCF$ in each group results to \begin{array}{l}\require{cancel} 2x(3x+2)+5(3x+2) .\end{array} Factoring the $GCF= (3x+2) $ of the entire expression above results to \begin{array}{l}\require{cancel} (3x+2)(2x+5) .\end{array}
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