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3 retitle, retag, some grammatical edits

# complexzeroesofWhendoesareal polynomial functionshaveapairofcomplexconjugateroots?

Suppose we have a polynomial function $f(z)=a_0+a_1z+a_2z^2+...+z^n$ with each $a_i$ between 0 and 1. The question I wanna know is that is Is there a method to determine when if $f$ has at least a pair of complex conjugate zeroes.roots?

There are many results on radius of roots, but I never see similar facts concerning the question here.

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# complex zeroes of polynomial functions

Suppose we have a polynomial function $f(z)=a_0+a_1z+a_2z^2+...+z^n$ with each $a_i$ between 0 and 1. The question I wanna know is that is there a method to determine when $f$ has at least a pair of complex conjugate zeroes.

There are many results on radius of roots, but I never see similar facts concerning the question here.