Example 5.3 Let FE {R, C}. Recall that F(n) [x] is the space of dimension n + 1 consisting of all polynomials with coefficients in F of degree at most n. For f(x), g(x) ( F(n) [x] set (f(x), g(x)) = f(x)g(x)dx. 0 This defines an inner product on F(n) [x].4. Let V = R(2) [x] with the inner product of Example (5.3). Find a basis for the orthogonal complement to x +r + 1