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 4 - Polynomials - 4.3 Polynomials - 4.3 Exercise Set: 33

Answer

The answers are: \begin{align} x^4: &\color{red}{\text{Coefficient is 1 and Degree is 4}}\\ -x^3: &\color{red}{\text{Coefficient is -1 and Degree is 3}}\\ 4x: &\color{red}{\text{Coefficient is 4 and Degree is 1}}\\ -3: &\color{red}{\text{Coefficient is -3 and Degree is 0}} \end{align}

Work Step by Step

To determine the coefficient of a term, identify the part of the term which is the constant factor (usually a number). To determine the degree of a monomial, identify the number of variable factors in the monomial. \begin{align} x^4: &\color{red}{\text{Coefficient is 1 and Degree is 4}}\\ -x^3: &\color{red}{\text{Coefficient is -1 and Degree is 3}}\\ 4x: &\color{red}{\text{Coefficient is 4 and Degree is 1}}\\ -3: &\color{red}{\text{Coefficient is -3 and Degree is 0}} \end{align}
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