MathDB
All x for which P(x)=x

Source: Finnish Mathematics Competition 2009, Final Round - P2

November 16, 2011
algebrapolynomialmodular arithmeticfunctionalgebra proposed

Problem Statement

A polynomial PP has integer coefficients and P(3)=4P(3)=4 and P(4)=3P(4)=3. For how many xx we might have P(x)=xP(x)=x?
Back to ProblemsView on AoPS