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 - Page 281: 98



Work Step by Step

We are asked to find the polynomials that are the opposite of $-y^{5}+10y^{3}-2.3$. Recall that the opposite of a number/term $a$ is the number/term $-a$. Therefore, if $a=-y^{5}+10y^{3}-2.3$, its opposites will be in the form $-a=-(-y^{5}+10y^{3}-2.3)$ We can use the distributive property to further simplify. $-a=-1\times(-y^{5}+10y^{3}-2.3)=y^{5}-10y^{3}+2.3$ Therefore, D is the opposite of the given polynomial.
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