MathDB
Integer set and polynomial

Source: Pan African Maths Olympiad

August 11, 2005
algebrapolynomial

Problem Statement

Let SS be a set of integers with the property that any integer root of any non-zero polynomial with coefficients in SS also belongs to SS. If 00 and 10001000 are elements of SS, prove that āˆ’2-2 is also an element of SS.
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