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: 46


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

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 $$ (2x - 3)(x^2 + x + 1)= 2 x^3+2x^2+2x-3x^2 -3x - 3\\ =2x^3 -x^2- x - 3 .$$
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