Complex roots of polynomials, proving this particular property – math.stackexchange.com

Complex roots of polynomials, proving this particular property – math.stackexchange.com

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Show that any root $z$ of $z^4 + z + 3 = 0$ satisfies $|z|>1$. I don't see any obvious way to show this; or any good geometrical interpretation if there is any. I tried to consider Vieta's ...

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