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 - Vocabulary, Readiness & Video Check: 7

Answer

degree

Work Step by Step

The degree of a polynomial is the largest degree of all its terms. For example, consider the polynomial $x^{3}+x+y$. The sum of the exponents on x in the first term is 3, so the degree of the first term is 3. The sum of the exponents on the variables in the second and third terms is 1, so the degree of these terms is 1. Therefore, the first term has the largest degree of all of the terms, so the polynomial will have a degree of 3, which is equal to the degree on the largest term.
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