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: 59

Answer

$x^3-x^2+3x+3$

Work Step by Step

Using the Distributive Property, the product of the given expression, $ (x^2-x+3)(x+1) ,$ is \begin{array}{l}\require{cancel} x^2(x)+x(1)-x(x)-x(1)+3(x)+3(1) \\\\= x^3+x-x^2-x+3x+3 \\\\= x^3-x^2+(x-x+3x)+3 \\\\= x^3-x^2+3x+3 .\end{array}
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