Answer
See below
Work Step by Step
Let $S=\{p(x) \in P_3(R): p'(x)=0\}$
We can notice that $p'(x)=0 \rightarrow p(x)= \forall c \in R$
Thus, $p(x)=c=c.1$
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 - 4.4 Spanning Sets - Problems - Page 283: 24
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