MathDB
P(x) = nx^{n+2} -(n + 2)x^{n+1} + (n + 2)x-n is divisible (x - 1)^3

Source: Polish MO Second Round 1963 p5

August 31, 2024
algebrapolynomial

Problem Statement

Prove that the polynomial P(x)=nxn+2−(n+2)xn+1+(n+2)x−nP(x) = nx^{n+2} -(n + 2)x^{n+1} + (n + 2)x-n is divisible by the polynomial (x−1)3(x - 1)^3.
Back to ProblemsView on AoPS