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 - Chapter Review Exercises - Page 287: 30


NOT a polynomial

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the description of a polynomial expression to evaluate if the given expression, $ 2x+5x^{-1} ,$ 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 $5x^{-1}$ has an exponent that is NOT a nonnegative integer. Hence, the given expression is $\text{ NOT a polynomial .}$
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