Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.3 - Introduction to Polynomials - Practice - Page 358: 2


Given the polynomial, $-15x^{3}$ + $2x^{2}$ $-5$, the terms and degrees of each term are listed in the attached table.

Work Step by Step

In this problem, we are asked to focus on the exponents of the terms. The exponents are also known as "degrees." So, to figure out each term's degree, we need to ignore the term's coefficient--which is the first number in front of each variable--and look at the exponents instead. So, for the first term, $-15x^{3}$, the degree is 3 as shown by its exponent. Remember to ignore the term's coefficient (which is -15). For the 2nd term, $2x^{2}$, the exponent (shown after the x) is 2. So, this term's degree is 2. The third term, $-5$, does not have a degree. It is a Constant.
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