Polynomial Coordinates II For Problems a to b. We take S = (x3, x2. x, I) as the standard basis in P3 and introduce a new basis Q = (x3, x3 + x, x2. x2 + I).
(a) Find the coordinate vectors of these standard basis polynomials in terms of the new basis Q:

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

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

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p(x) 2x2+3. q(x)x 2 r(x) = x3 + 1 3142 2020 1102 0