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.4 Polynomials - R.4 Exercise Set: 61

Answer

$6x^4+17x^2-14$

Work Step by Step

Using the FOIL method, the given expression, $ (2x^2+7)(3x^2-2) ,$ is equivalent to \begin{array}{l}\require{cancel} 2x^2(3x^2)+2x^2(-2)+7(3x^2)+7(-2) \\\\= 6x^4-4x^2+21x^2-14 \\\\= 6x^4+17x^2-14 .\end{array}
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