Determine the number of zeros of \[ p(z)=3z^3-2z^2+2iz-8 \] which lie in the annulus \(1<|z|<2\). Prove your answer is correct.
Question
Math 6210 • Real Analysis
2005 • Question 7
Question
2005 • Question 7
Determine the number of zeros of \[ p(z)=3z^3-2z^2+2iz-8 \] which lie in the annulus \(1<|z|<2\). Prove your answer is correct.