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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

2001 • Question 8

Question

Math 6210 • Real Analysis 2001 • Question 8

Determine the number of zeroes of the polynomial \[ z^5+4z^2+2z+1 \] in the region \(|z|<1\).

Raw LaTeX

Determine the number of zeroes of the polynomial
\[
z^5+4z^2+2z+1
\]
in the region \(|z|<1\).

Topic Tags

Zeros of Holomorphic Functions and the Identity Theorem