Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.1 - Adding and Subtracting Polynomials - Exercise Set - Page 351: 109

Answer

Explanation given below

Work Step by Step

A polynomial is an expression containing one term, or the sum of several terms which have the form term =(real number)$\times$(power of a variable)$\times$(power of a variable)$\times$...$\times$(power of a variable) The terms can contain one or more variables. The $\text{degree of a term}$ is the sum of all the exponents in the variable part of the term. Examples: The term $(7x^{2})$ has degree $2$. The term $(17x^{2}y^{4}z)$ has degree $2+4+1=7$. The term $(xyz^{3})$ has degree $1+1+3=5$. The $\text{degree of a polynomial}$ is the highest degree of its terms. Example: In the polynomial $(3x^{4}+2xy^{3}-5xy^{5}+x)$ the term with the highest degree is $-5xy^{5}$. Its degree is $1+5=6$. So, the polynomial has degree 6.
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