Finite Differences

by First, Dec 3, 2016, 10:36 PM

2016 AIME #11 wrote:
Let $P(x)$ be a nonzero polynomial such that $(x-1)P(x+1)=(x+2)P(x)$ for every real $x$, and $\left(P(2)\right)^2 = P(3)$. Then $P\left(\frac{7}{2}\right)=\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.
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There was an almost identical problem in 108 (which I unfortunately saw after seeing this problem for the first time)

...rip MAA

by shiningsunnyday, Dec 4, 2016, 1:07 AM

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Didn't you take the 2016 AIME II? Also is 108 just problems or topics covered and examples presented?

by First, Dec 4, 2016, 2:02 AM

To share with readers my favorite problem I came across today :) (Shout for contrib.)

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