Galois groups of certain even octic polynomials

Malcolm Hoong Wai Chen, Angelina Yan Mui Chin, Ta Sheng Tan

Let $f(x)=x^8+a{x}^4+b\in \mathbb{Q}[x]$ be an irreducible polynomial where $b$ is a square. We give a method that completely describes the factorization patterns of a linear resolv…