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1997 USAMO Problems/Problem 3

Revision as of 08:36, 1 July 2011 by Mcqueen (talk | contribs) (Created page with "== Problem == Prove that for any integer <math>n</math>, there exists a unique polynomial <math>Q</math> with coefficients in <math>\{0,1,...,9\}</math> such that <math>Q(-2)=Q(-...")
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Problem

Prove that for any integer $n$, there exists a unique polynomial $Q$ with coefficients in $\{0,1,...,9\}$ such that $Q(-2)=Q(-5)=n$.

Solution

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