Answer
See below
Work Step by Step
General form of vector space $V$ is $p(x)=a_x^n+a_{n-1}+...+a_1x+a_0$
with $a_0,a_1,...a_n \in R$
We can see that zero vector in $V$ is $q(x)=0$
Hence, additive inverse $-A=-a_x^n-a_{n-1}-...-a_1x-a_0$
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 4 - Vector Spaces - 4.2 Definition of Vector Spaces - Problems - Page 262: 19
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