## Problem of the Week 1196## Find Minus TwoStart 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 whichare in S. Prove that the negative number −2 eventually appears in S. Source: Baltic Way Mathematical Olympiad, 1996, Problem 12. Also, MAA NCS contest, 2014, Problem 9. |

17 November 2014