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: 63

Answer

$3y^6-21y^4+y^3+2y^2-7y-14$

Work Step by Step

Using the Distributive Property, the product of the given expression, $ (y^2-7)(3y^4+y+2) ,$ is \begin{array}{l}\require{cancel} y^2(3y^4)+y^2(y)+y^2(2)-7(3y^4)-7(y)-7(2) \\\\= 3y^6+y^3+2y^2-21y^4-7y-14 \\\\= 3y^6-21y^4+y^3+2y^2-7y-14 .\end{array}
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