Let $f(x)\in\mathbf Q[x]$ and let $K$ be the splitting field of $f(x)$. How is the discriminant of $K$ (as a number field) related to the discriminant of $f(x)$? Are they divisible by the same primes? Does one divide the other?
2026-04-11 19:50:34.1775937034
Discriminant of a splitting field
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