1.

Let W = span{x} be a subspace of P2 (R) with (p(x), q(x)) = p(x)q(x) dx. 0 Find WI.Let p(x), q(x) E P2(R). Determine (with proof) if the function (p(x), q(z)) = p(-1)q(-1) + p(1)q(1) satisfies the properties of positivity, definiteness, and additivety of an inner product on P2 (R)