4. Define an inner product on the space of functions C[-1, 1] to be (p, q)= J, p(x)q(x)x2dx. (a) (10pts) Find a nonzero polynomial p(x) = x2 + ax + b E P3 that is orthogonal to Span {x, 1}. Recall that f a dx = okti *+I + C. (b) (10pts) With the above inner product find the orthogonal projection p(x) of the polynomial u(x) = x2 to the polynomial v(x) = 1