Let H be the set of polynomials (a) Give two different examples of polynomials in H. example 1: p(x) = = example 2: q(x): = (b) Give two different examples of polynomials from P3 which are not in H. example 1: p(x) = = example 2: q(x) = (c) Complete the following statements to determine if H is a subspace of P3. 0 ? in H. H={pP3 | P(2) = 0}. H is ? under vector addition. If it is not closed, enter two polynomials p, q = H below, whose sum is not in H. If it is closed, then leave the following spaces blank. P(x) = q(x) = = H is ? under scalar multiplication. If it is not closed, enter a scalar k and polynomial r = H below, whose product is not in H. If it is closed, then leave the following spaces blank. k = and r(z) = =