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: 33

Answer

The denominator $x^3-1$ has a degree greater than $0$, so the given expression is not a polynomial.

Work Step by Step

A polynomial cannot have a variable with a positive exponent in its denominator. The denominator $x^3-1$ has degree greater than $0$, so the given expression cannot be a polynomial.
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