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Final Minus Two (Posted on 2015-01-24) Difficulty: 3 of 5
Start with the set S = {0, 2014}. Then, repeatedly, expand S as follows.

Place into S any integer that is a root of a polynomial the coefficients of which are in S.

Prove that the negative number −2 eventually appears in S.

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
SolutionHow to add -2Brian Smith2016-07-01 09:38:28
SolutionWhat am I missing this time (spoiler?)Steve Herman2015-01-24 13:52:27
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