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: 24

Answer

$\text{Degree of Term 1: } 6 \\\text{Degree of Term 2: } 3 \\\text{Degree of Term 3: } 3 \\\text{Degree of the Polynomial: } 6$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the definition of the degree of a term and the definition of the degree of a polynomial for the given polynomial, $ 23a^4b^2-62a^2b+9b^3 .$ $\bf{\text{Solution Details:}}$ The degree of a term is the sum of the exponents of the variables in the term. Hence, the degree of each term in the given polynomial expression above is \begin{array}{l}\require{cancel} \text{Term 1: } 4+2=6 \\\text{Term 2: } 2+1=3 \\\text{Term 3: } 3 .\end{array} The degree of a polynomial is the highest degree among all the terms. Hence, the given polynomial has the following characteristics: \begin{array}{l}\require{cancel} \text{Degree of Term 1: } 6 \\\text{Degree of Term 2: } 3 \\\text{Degree of Term 3: } 3 \\\text{Degree of the Polynomial: } 6 .\end{array}
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