Answer
False
Work Step by Step
False. We can write the following:
$$
(x+a)(x^2+ax+a)=x^3+2ax^2+2ax+a^2\neq (x^3+a^3)
.$$
Note that the left and right sides do not equal each other, so the statement is false.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
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 A30: 6
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