Indian Mathematical Olympiad 1986 - Problem 5
Source:
August 13, 2009
algebrapolynomialinequalitiesAMCUSA(J)MOUSAMOalgebra proposed
Problem Statement
If is a polynomial with integer coefficients and , , , three distinct integers, then show that it is impossible to have P(a)\equal{}b, P(b)\equal{}c, P(c)\equal{}a.