Recall the vector space P(3) consisting of all polynomials in the variable x of degree at most 3. Consider the following collections, X, Y, Z, of elements of P(3). X = {0, 3x, x² + 1, x³}, Y := {1, x + 9, (x-3) - (x + 3), x³), Z:= {x³ + x² + x + 1, x² + 1, x + 1, x, 1, 0). In each case decide if the statement is true or false. (A) span(X) = P(3). (No answer given) + [3marks] (B) span(Z) = P(3). (No answer given) + [3marks] (C) Y is a basis for P(3). (D) Z is a basis for P(3). (No answer given) + [3marks] (No answer given) [3marks]