ASU 533 All Soviet Union MO 1990 game with coefficients of cubic, integer roots
Source:
August 14, 2019
integer rootsCubicpolynomialgamegame strategyalgebra
Problem Statement
A game is played in three moves. The first player picks any real number, then the second player makes it the coefficient of a cubic, except that the coefficient of is already fixed at . Can the first player make his choices so that the final cubic has three distinct integer roots?