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2014 OIM Problems/Problem 2

Revision as of 15:08, 14 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == Find all the polynomials <math>P(x)</math> with real coefficients such that <math>P(2014) = 1</math> and, for some integer <math>c</math>, it holds that <cmath>...")
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Problem

Find all the polynomials $P(x)$ with real coefficients such that $P(2014) = 1$ and, for some integer $c$, it holds that

\[xP(x - c) = (x - 2014)P(x)\]

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

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See also

OIM Problems and Solutions

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