1 problem

Let $n,m\in\mathbb{Z}$ and $A,B\in\mathbb{Z}\setminus\{0\}$ satisfy $1\le m<n$ and $\gcd(n,mB)=1$. Suppose that $f(X)=X^n+A(BX+1)^m\in\mathbb{Z}[X]$ is irreducible, let $\alpha$ be…