Let V = P3 be the vector space of polynomials

a0 + a1x + a2x^2 + a3x^3

og degree smaller than or equal to 3. Let the standard basis be:

E = (1, x , x^2, x^3) and let another basis for V be:

G = (1, (2x + 1), (2x + 1)^2, (2x + 1)^3)

How do I find the transition matrix from G to E?