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 4 - Polynomials - 4.5 Multiplication of Polynomials - 4.5 Exercise Set: 65

Answer

$33x^2+25x+2$

Work Step by Step

The given expression, $ (3x+2)(7x+4x+1) ,$ is equivalent to \begin{array}{l}\require{cancel} (3x+2)(11x+1) .\end{array} Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of 2 binomials, the expression above is equivalent to \begin{array}{l}\require{cancel} 3x(11x)+3x(1)+2(11x)+2(1) \\\\= 33x^2+3x+22x+2 \\\\= 33x^2+25x+2 .\end{array}
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