Complex Analysis (zeroes of Polynomials)

[curtdbz]

I just wanted to know what kind of math is needed to solve questions like 1, 2 and 3 of http://www.math.toronto.edu/deljunco/354/ps4.fall10.pdf and number 5 of http://www.math.toronto.edu/deljunco/354/354final08.pdf .

I don't need solutions, I just need to know what book or online source can help me. The only thing I can think of is factoring the equations but I'm sure that's not a good way to go about it. The standard Complex Analysis books have chapters like: Analytic and Harmonic Functions, Sequences/Series, Integration/Residue Theorem, and Conformal Mappings . But none of those seem to outline how to solve a problem like this. Can someone help me? Thanks!

 

[snipez90]

http://en.wikipedia.org/wiki/Rouché's_theorem