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nice polyminal

Source: baltic way 2008

November 14, 2008
algebrapolynomialalgebra unsolved

Problem Statement

The polynomial PP has integer coefficients and P(x)=5P(x)=5 for five different integers xx. Show that there is no integer xx such that −6≤P(x)≤4-6\le P(x)\le 4 or 6≤P(x)≤166\le P(x)\le 16.
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