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 - Review Exercises: Chapter 4: 57

Answer

$2t^4-11t^2-21$

Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of 2 binomials, the product of the given expression, $ (2t^2+3)(t^2-7) ,$ is \begin{array}{l}\require{cancel} 2t^2(t^2)+2t^2(-7)+3(t^2)+3(-7) \\\\= 2t^4-14t^2+3t^2-21 \\\\= 2t^4-11t^2-21 .\end{array}
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