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Consider V = fp(t) 2 P2 : p0(1) = p(0)g, where P2 is a set of...

Consider V = fp(t) 2 P2 : p0(1) = p(0)g, where P2 is a set of
all polynomials of degree less than or equal to 2.
(1) Show that V is a subspace of P2
(2) Find a basis of V and the dimension of V

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