College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 5 - Section 5.1 - Polynomial Functions and Models - 5.1 Assess Your Understanding: 26

Answer

Not a polynomial.

Work Step by Step

First, we simplify: $$\frac{x^2 -5}{x^3} = x^{-1} -5x^{-3}$$ By definition, a polynomial is a function containing only terms where x is raised to a positive, integer power or constants. x is raised to the negative third power. Because this is not a positive power, it is not a polynomial.
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