MathDB
p(a) is a positive integer

Source: Vietnam TST 1998 for the 39th IMO, problem 4

June 26, 2005
algebrapolynomialcalculusintegrationRational Root Theoremnumber theory unsolvednumber theory

Problem Statement

Find all integer polynomials P(x)P(x), the highest coefficent is 1 such that: there exist infinitely irrational numbers aa such that p(a)p(a) is a positive integer.
Back to ProblemsView on AoPS