MathDB
-2 belongs to S

Source: Baltic Way 1996 Q12

March 19, 2011
algebrapolynomialalgebra proposed

Problem Statement

Let SS be a set of integers containing the numbers 00 and 19961996. Suppose further that any integer root of any non-zero polynomial with coefficients in SS also belongs to SS. Prove that āˆ’2-2 belongs to SS.
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