Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A30: 58

Answer

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

Work Step by Step

Use special formula for the perfect cubes. $(x+a)^3=x^3+3ax^2+3a^2x+a^3$ With $a=1$, substitute $1$ to $a$ in the formula above to obtain: $(x+1)^3=x^3+3(1)x^2+3(1)^2x+(1)^3$ Simplify. $(x+1)^3=x^3+3x^2+3x+1$ Hence, the single polynomial answer in standard form is $x^3+3x^2+3x+1$.
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