Let Pn denote the vector space of all real-valued polynomials of degree at most n. Let W = { P : (1) = 0, (0) = 0}. (a) Show that W is a subspace of P. (Hint: Write f (x) = ax+bx + cr + dx +e and give an equivalent description of W in terms of a, b, c, d, e.) (b) Find a basis for W (and prove that it is a basis). (c) What is the dimension of W?