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Aug 29, 2017 at 19:42 comment added R. van Dobben de Bruyn @AlexM. I see that my comment came across a bit more negative than I intended. An earlier version stated: this is true when $f$ is étale at $\mathfrak q$, i.e. if $f'(\alpha) \not \in \mathfrak q$ (where $\alpha$ is a root of $f$). If that fails, I don't think there is an easy way to tell.
Aug 29, 2017 at 17:34 history edited Vincenzo Zaccaro CC BY-SA 3.0
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Aug 29, 2017 at 13:26 comment added Steve D MSE link
Aug 28, 2017 at 22:11 history asked Vincenzo Zaccaro CC BY-SA 3.0