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I'm not quite sure on how to solve this one. Any help would be appreciated. :)

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closed as off-topic by Alex Provost, YiFan, Leucippus, Eevee Trainer, GNUSupporter 8964民主女神 地下教會 Mar 24 at 23:30

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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.

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