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QUESTION
Let f(x) be a polynomial of degree n in Pn(R). Prove that for any g(x) in Pn(R) there exist scalars c0, c1, c2, ., cn such that g(x)=c0f(x)+ c1f'(x)+...
Let f(x) be a polynomial of degree n in Pn(R). Prove that for any g(x) in Pn(R) there exist scalars c0, c1, c2, ..., cn such that g(x)=c0f(x)+ c1f'(x)+ c2f"(x)+...+cnf(n)(x).
