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Problem of the Day #67: Evaluation of a polynomial May 25, 2011

Posted by Mitchell in : potd , trackback

Let $n$ be a positive integer. Given that the polynomial $P(x)$ satisfies the relation $2 P(x+1) – P(x) = x(x-1)(x-2)\cdots(x-n)$ for all $x$, find the value of $P(0)$.

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