Can you give me an example of a field $\mathbb{K}$ such that there exists a polynomial $p(x)\in\mathbb{K}[x]$ that is irreducible and has a multiple root?
2026-04-08 09:06:09.1775639169
A field with irreducible polynomial that has multiple roots
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Hint: the characteristic of $K$ can't be $0$; and $K$ must be infinite. Can you think to an infinite field of characteristic $2$ and to a degree two irreducible polynomial having multiple root?