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5 (a) Let U = {p E P4(R) : p(6) = 0}. Find a basis of U. (b) Extend the basis in part (a) to

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5 (a) Let U = {p E P4(R) : p"(6) = 0}. Find a basis of U. (b) Extend the basis in part (a) to a basis of P4(R). (c) Find a subspace W of P4(R) such that P4(R) = U O W

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