please help with this problem

Problem 4. 4.1. Show that the functions Oz, T2 : P(F) - P(F) defined by n n n n ( Ex; ) = [jail and T.(Xx,') = > 23+1 j=0 j=0 j=0 j=0 J +1 are linear transformations which satisfy Oz o T2 = Idp(F). Do they also satisfy Tz oz = Idp(F)? 4.2. Let p be a polynomial of degree 3, say p(z) = a23 + bz2 + cz + d (with a * 0). Show that p, Oz(p), 2 (p) = (2zo2) (p), 23(p) = (2zo2) (p) is a basis of P3(F)