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 - Review Exercises: Chapter 4: 32

Answer

(a) $4t^2$: degree=2 $6$: degree = 0 $15t^5$: degree = 5 (b) leading term = $15t^5$ leading coefficient = $15$ (c) degree of the polynomial = $5$

Work Step by Step

RECALL: The terms of a polynomial are separated by either an addition or a subtraction operation. Thus, the given polynomial has three terms, namely: $4t^2$, $6$, and $15t^5$ (a) The degree of a term is equal to the sum of the exponents of its variables. The degree of each term is: $4t^2$: degree=2 $6$: degree = 0 $15t^5$: degree = 5 (b) The leading term of a polynomial is the term with the highest degree. The term with the highest degree is $15t^5$. Thus, the leading term of the polynomial is $15t^5$. The leading coefficient is $15$. (c) The degree of a polynomial is equal to the degree of the leading term. Thus, the degree of the polynomial is $5$.
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