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: 86

Answer

$ x^3+3x^2+3x+1$

Work Step by Step

We cube (expand) the binomial as follows: $$ (x+1)^3=(x+1)(x+1)(x+1)=(x)^3+3(x)(1)^2+3(1)(x)^2+(1)^3\\ = x^3+3x^2+3x+1 .$$
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