Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.1 - Introduction to Polynomials and Polynomial Functions - Exercise Set - Page 324: 6

Answer

Degree of the polynomial is $4$, leading term is $-9x^4$ and leading coefficient is $-9$

Work Step by Step

Consider the given polynomial $2x^2-9x^4-x+5=0$ Need to find the degree of the polynomial, leading coefficient and leading term. The greatest or larger degree of any term or variable of the polynomial is known as degree of the polynomial, which is $4$. The leading term can be defined as the term of having the greatest or larger degree, which is $-9x^4$ with the leading coefficient $-9$. Hence, as per the above explanations our results are: Degree of the polynomial is $4$, leading term is $-9x^4$ and leading coefficient is $-9$
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