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: 60

Answer

$x^3+3x^2-5x-14$

Work Step by Step

Using the Distributive Property, the product of the given expression, $ (x^2+x-7)(x+2) ,$ is \begin{array}{l}\require{cancel} x^2(x)+x^2(2)+x(x)+x(2)-7(x)-7(2) \\\\= x^3+2x^2+x^2+2x-7x-14 \\\\= x^3+(2x^2+x^2)+(2x-7x)-14 \\\\= x^3+3x^2-5x-14 .\end{array}
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