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 - Page 338: 26


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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.