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Use induction to prove Let f(x) be a polynomial of degree n in Pn(R). Prove that...

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Advance Math

Use induction to prove

Let f(x) be a polynomial of degree n in Pn(R). Prove that forany g(x)?Pn(R) there exist scalars c0, c1, ...., cn such thatg(x)=c0f(x)+c1f?(x)+c2f??(x)+?+cnf(n)(x), where f(n)(x)denotes thenth derivative of f(x).

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