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.