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 - Page 61: 3


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: $$\frac{2x+3}{x}$$ $$=\frac{2x}{x}+\frac{3}{x}$$ $$=2+3x^{-1}$$
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