Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.3 - Polynomials and Polynomial Functions - Exercise Set: 103

Answer

The degree of a term is the sum of the exponents on the variables contained in the term.

Work Step by Step

The degree of a term is the sum of the exponents on the variables contained in the term. Therefore, we simply add together the exponents on the variables in the term. For the term 5$x^{2}y^{3}$, the exponent on x is 2 and on y is 3. Therefore, the degree of this term is the sum of these numbers ($2+3=5$). Remember that the degree of a constant term is 0. A constant $a$ can be written in the form $ax^{0}$, where we can see that the sum of the exponents on the variable is 0.
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