Show that each of the following subsets is a subspace of the given vector spaces, or...

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• Show that each of the following subsets is a subspace of the given vector spaces, or else provide a single counterexample to show that the subset is NOT a vector subspace. o 5 All polynomials in p such that p(0) = 0. o 5 All polynomials in p such that p(0) = 3. • Show that each of the following subsets is a subspace of the given vector spaces, or else provide a single counterexample to show that the subset is NOT a vector subspace. o 5 All polynomials in p such that p(0) = 0. o 5 All polynomials in p such that p(0) = 3.