Determine if the given set is a subspace of pn- justify your answer. the set of all polynomials in pn such that p(0) =0 choose the correct answer beloww. o a. t

Determine if the given set is a subspace of Pn- Justify your answer. The set of all polynomials in Pn Such that p(0) =0 Choose the correct answer belowW. O A. The set is not a subspace of P because the set is not closed under vector addition. O B. The set is not a subspace of Pn because the set is not closed under multiplication by scalars. OC. he set is a subspace of Pn because Pn S a vector space spanned by the given set. O D. The set is not a subspace of Pn because the set does not contain the zero vector of Pn O E. The set is a subspace of P, 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.