Question: This is my practice exam. Question a & b please 2. (a) (8 points) Let V = P2(R) = {ar' + br + c: a,b,ce

This is my practice exam. Question a & b please

2. (a) (8 points) Let V = P2(R) = {ar' + br + c: a,b,ce R} . and S = {p(x) = ar' + br + ce P,(R) : p'(0) =0}. Show that S is a subspace of V. (b) (4 points) What is the dimension of the subspace S in part (a)? (Hint: If p(x) = ax + box + c, what is p'(x)? More specifically, what is p'(0)?)

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