Question

Suppose that the vector space P2 is a vector space consisting of polynomials of less than quadratic order mial f(x), g(x) >= f(x)g(x)dr is defined. d. -1 with real coefficients and that the interior of the polynomial f (a) Show that polynomials 1 and x are orthogonal. (b) Find the norm of the polynomial x. (c) Find the square above the polynomial x of polynomial x-1.

Fig: 1