Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - 3.2 Combining Functions - 3.2 Exercises - Page 244: 9


NOT a polynomial

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the description of a polynomial expression to evaluate if the given expression, $ \dfrac{4}{x}+20x-10 ,$ is a polynomial or not. $\bf{\text{Solution Details:}}$ A polynomial expression is an expression where the exponent of the variable in every term is a nonnegative integer. The term $\dfrac{4}{x}$ is equivalent to $4x^{-1}.$ So the exponent of $x$ is NOT nonnegative. Hence, the given expression is $\text{ NOT a polynomial .}$
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