I'm not quite sure on how to solve this one. Any help would be appreciated. :)
2026-03-25 22:26:31.1774477591
How to find the splitting field for $x^3-x^2-x-2$ over $\Bbb Q$?
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Hint: This polynomial has a rational root. Actually, it factors as $$x^3-x^2-x-2=(x-2)(x^2+x+1),$$ so it is the splitting field of the quadratic polynomial $x^2+x+1$, which I'm sure you've already met.