I'd like to figure out why(adsbygoogle = window.adsbygoogle || []).push({});

[tex] f(x) = x^n - r e^{i \theta} = \prod_{j = 0}^{n - 1} ( x - r^{1/n} e^{i \theta / n} e^{2 \pi i j / n} ) [/tex],

as I've seen it used as an identity in a few courses but I cannot figure it out. Could somebody shed some light? I understand they are the roots of the function, but I'd like some kind of analytic description.

Thanks a lot!

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# Tricky Identity

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