Galois group of x^3-3x+3

Описание к видео Galois group of x^3-3x+3

What is the Galois group of x^3-3x+3? EDIT: The method used in this video does not show that the polynomial has only a single real root since we didn't test for where the polynomial is increasing/decreasing. To see why it only has one root in R we can either observe that at both critical points the function is positive (so it can't have a root between these points, since then the derivative would be 0 at some point between -1 and 1), or we could use the first derivative to see where the function is increasing/decreasing.

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