Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A31: 45

Answer

$x^3 +3x^2- 2x - 4$

Work Step by Step

We multiply each term of the first polynomial by each term of the second polynomial and then combine the like terms as follows $$ (x + 1)(x^2 + 2x - 4)= x^3+2x^2-4x+ x^2 + 2x - 4\\ =x^3 +3x^2- 2x - 4 .$$
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