# Root finding methods for Polynomials.

Hi , is there a method to obtain the roots of Polynomials:

$$P(x)=a_{0}+a_{1}x+a{2}x^{2}+............+a_{n}x^{n}$$

i know there are , but my problem is this if we knew that are complex roots of the form z=a+ib , would be a method to obtain the complex root with BIGGER and SMALLER real part ?? , i mean for example if a POlynomial has complex root:

1+3i 1-3i 0.6+8i 0.6-8i 0.01+34i 0.01-34i ...

my question is if we could use a root finding algorithm to check that the bigger part of the roots is '1'

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