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: 87


$ 8x^3+12x^2+6x+1$

Work Step by Step

We cube (expand) the binomial as follows: $$ (2x+1)^3=(2x+1)(2x+1)(2x+1)=(2x)^3+3(2x)(1)^2+3(1)(2x)^2+(1)^3\\ = 8x^3+12x^2+6x+1 .$$
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