Question: How to compute the Galois group of reducible polynomials

If a polynomial is irreducible, you can use GroupTheory:-GaloisGroup or galois to compute its polynomial, for example:

G := GroupTheory:-GaloisGroup(x^5 - x + 1, x)

But what if polynomials are reducible? Such as x^5-x+15. How to compute its Galois group by maple? There are some examples to check at the end of this article

Please Wait...