College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.4: 3

Answer

No, the algebraic expression $\frac{2x+3}{x}$ is not a polynomial.

Work Step by Step

The degrees of the variables in the algebraic expression are not non-negative, so this is not a polynomial. To simplify, write as two separate fractions: $$\frac{2x+3}{x}$$ $$=\frac{2x}{x}+\frac{3}{x}$$ $$=2+3x^{-1}$$
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.