Help proving that a polynomial has n roots and that they're all different – math.stackexchange.com

Help proving that a polynomial has n roots and that they're all different – math.stackexchange.com

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Given the nature of the exercise, I think the point is not using the Fundamental Theorem of Algebra to show there must be $n$ roots. Anyway, the polynomial is the following: $$x^n + x + 1$$ So far ...

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