Determine if the given set is a subspace of pn justify your answer the set of all polynomials in pn such that p(o)-0 choose the correct answer below. o a. the set is not a subspace of pn because the set does not contain the zero vector of pn ° c. the set is not a subspace of pn because the set is not closed under vector addition. o d. the set is not a subspace of in because the set is not closed under multiplication by scalars o e. the set is a subspace of pn because pn is a vector space spanned by the given set. the set is a subpace of pn because the set contains the zero vector of pn the set is closed under vector addition, and the set is closed under multiplication by scalars.