Prove that if $f$ is a polynomial of degree $k$, then for $n > k$, $f[x_0,x_1,...,x_n] = 0$.

Asked Feb 10 '20 at 02:00

Active Feb 10 '20 at 02:10

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I've been struggling with divided difference problems a lot. I'm able to program an algorithm to compute them easily, but I have no idea how to even start this proof. Any ideas?

edited Feb 10 '20 at 02:10

Nick

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asked Feb 10 '20 at 02:00

Cameron Potter

Comments are not for extended discussion; this conversation has been moved to chat. – Aloizio Macedo Feb 14 '20 at 00:42

Prove that if $f$ is a polynomial of degree $k$, then for $n > k$, $f[x_0,x_1,...,x_n] = 0$.

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