MathDB
Prove that the polynomial has at most one zero

Source: Balkan MO 1994, Problem 2

April 25, 2006
algebrapolynomialcalculusintegrationmodular arithmeticalgebra proposed

Problem Statement

Let nn be an integer. Prove that the polynomial f(x)f(x) has at most one zero, where f(x)=x4−1994x3+(1993+n)x2−11x+n. f(x) = x^4 - 1994 x^3 + (1993+n)x^2 - 11x + n . Greece
Back to ProblemsView on AoPS