Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter R - Elementary Algebra Review - R.4 Polynomials - R.4 Exercise Set: 29

Answer

$\text{First Term Coefficient: } 18 \\\text{First Term Degree: } 3 \\\\\text{Second Term Coefficient: } 36 \\\text{Second Term Degree: } 9 \\\\\text{Third Term Coefficient: } -7 \\\text{Third Term Degree: } 1 \\\\\text{Fourth Term Coefficient: } 3 \\\text{Fourth Term Degree: } 0 \\\\\text{Degree of the Polynomial: } 9$

Work Step by Step

The coefficient of a term is the number before the variables. The degree of a term is the sum of the exponents of all variables in a term. The degree of a polynomial is the highest degree among all the terms of the expression. Hence, the given expression, $ 18x^3+36x^9-7x+3 ,$ has the following characteristics: \begin{array}{l}\require{cancel} \text{First Term Coefficient: } 18 \\\text{First Term Degree: } 3 \\\\\text{Second Term Coefficient: } 36 \\\text{Second Term Degree: } 9 \\\\\text{Third Term Coefficient: } -7 \\\text{Third Term Degree: } 1 \\\\\text{Fourth Term Coefficient: } 3 \\\text{Fourth Term Degree: } 0 \\\\\text{Degree of the Polynomial: } 9 .\end{array}
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