Let P2 denote the vector space of polynomials of degree at most 2. For an integer n > 2, define the function ()n: P2 X P2 R by (p, q) = p070 +p(1)(1) +...+p(n)g(n). One can show that (,)n defines an inner product on P2. (a) Find an expression for ||1|| with respect to (n. (b) Find a polynomial Pn do +alt+azt such that 1 and Pn are orthogonal with respect to (,)n. Hint: You may use that 1+2+... +n= n(n+1) 2