Hi everybody, this is my first post here.(adsbygoogle = window.adsbygoogle || []).push({});

I got this question, but I don't know what it means:

Fix n ≥ 1. If the nth roots of 1 are w0, w1, w2, . . . , wn−1, show that they satisfy:

(z − w0)(z − w1)(z - w2) · · · (z − wn−1) = z^n − 1

(z and wn are all complex numbers)

What I don't understand is, what does it mean by "nth roots of 1"?

I think by "roots" it means polynomial roots, but what does it mean to have a root of a number in this context?

Any help would be appreciated.

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# Homework Help: Need help figuring out what this Maths question means

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