I'm not quite sure on how to solve this one. Any help would be appreciated. :)
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
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Alex Provost, YiFan, Leucippus, Eevee Trainer, GNUSupporter 8964民主女神 地下教會
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.