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(a) Let Up EP4(F) p(6) = 0). Find a basis of U. (b) Extend the basis in part (a) to a basis of P4

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(a) Let Up EP4(F) p(6) = 0). Find a basis of U. (b) Extend the basis in part (a) to a basis of P4 (F). (c) Find a subspace W of P (F) such that P (F) = Ue W.

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