For Problems a-b, we take S = {x2, x, 1} as the standard basis in P2 and introduce a new basis N = {2x2 - x, x2, x2 + 1}
(a) Express in terms of the new basis N the standard basis polynomials

(b) Vector representations of three polynomials relative to the basis N are

Calculate standard representations of u(x), v(x), and w(x).

p(x) =x2 +2x+3. g(x) = 2-2. r(x) = 4r-5. 110 223 102