I have to solve the following problem:

Let V be the R-space of real polynomials of degree at most 3.

For p(X) in V, define

Tp(X)=1/6(19-6x+7x^2+32x^3-15x^4-6x^5)p'''(X)+(6-7x-9x^2+5x^3+x^4)p''(X)+(7-5x^2+2x^3)p'(X)+(10-6x^2)p(X).

Find [T]s where S is the standard ordered basis {1,x,x^2,x^3}.

Find [T]b where B is the non-standard ordered basis {2-12x-x^2+4x^3, 2-x^2, 3-x^2, -5x+2x^3}.

How do I work these out?