Answer
$-a_0-a_1x-a_2x^2-a_3x^3$
Work Step by Step
The additive inverse of any polynomial $f(x)=a_0+a_1x+a_2x^2+a_3x^3\in P_3$ is given by
$$-[f(x)]=-a_0-a_1x-a_2x^2-a_3x^3.$$
Elementary Linear Algebra 7th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
1-13311-087-8
ISBN 13:
978-1-13311-087-3
Chapter 4 - Vector Spaces - 4.2 Vector Spaces - 4.2 Exercises - Page 160: 11
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