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Question: How to compute the Galois group of reducible polynomials

Question:How to compute the Galois group of reducible polynomials

jud 155 Maple
April 23 2023
2

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
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