MathDB
find n such P(x) = 3x^3-nx-n-2 can be product of integer polynomials

Source: Dutch IMO TST1 2011 p4

January 10, 2020
polynomialInteger Polynomialalgebra

Problem Statement

Determine all integers nn for which the polynomial P(x)=3x3−nx−n−2P(x) = 3x^3-nx-n-2 can be written as the product of two non-constant polynomials with integer coeffcients.
Back to ProblemsView on AoPS