Question

How do I show a polynomial with degree n-1 is a subspace?

Answer 1

It might be helpful to recall this definition:
Let V be a vector space over the field K, and let W be a subset of V. Then W is a subspace if and only if it satisfies the following three conditions:

\[0 \in W \\
u,v \in W, \text{ then } u+v \in W \\
c \in K \text{ and } u \in W, \text{ then } cu \in W \]


So what are you trying to show it is a subspace of?

Answer 2

i have to go
sorry