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Question Number 34604 by abdo mathsup 649 cc last updated on 08/May/18

let  p(x)= x^n  +x+1 ∈C[x] and z∈C/p(z)=0  prove that ∣z∣<2 .

$${let}\:\:{p}\left({x}\right)=\:{x}^{{n}} \:+{x}+\mathrm{1}\:\in{C}\left[{x}\right]\:{and}\:{z}\in{C}/{p}\left({z}\right)=\mathrm{0} \\ $$ $${prove}\:{that}\:\mid{z}\mid<\mathrm{2}\:. \\ $$

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