MathDB
(x(x+1))^{2^{2023}}+1is irreducible in Q[x]

Source: 2023 Viet Nam math olympiad for high school students D2 P9

March 25, 2023
algebra

Problem Statement

Prove that: the polynomial(x(x+1))22023+1(x(x+1))^{2^{2023}}+1is irreducible in Q[x].\mathbb{Q}[x].