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: 13

Answer

NOT a polynomial

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the description of a polynomial expression to evaluate if the given expression, $ 5\sqrt{d}+2 ,$ 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 $5\sqrt{d}$ is equivalent to $5d^{\frac{1}{2}}.$ So, this term has an exponent that is NOT an integer. Hence, the given expression is $\text{ NOT a polynomial .}$
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