Question: In P3(C): a) Find a basis for W = {p(x) = P3(C): p(i) = 0, p'(i)=0}. b) Find a basis for U = {p(x)

In P3(C): a) Find a basis for W = {p(x) = P3(C):

In P3(C): a) Find a basis for W = {p(x) = P3(C): p(i) = 0, p'(i)=0}. b) Find a basis for U = {p(x) = P3(C): p(1) = p(-1)}. c) Find a basis for Un W d) Find a basis for U + W using some basis vectors for W from (a) and some basis vectors for U from (b).

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