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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Fall 2013 • Question 8

Question

Math 6210 • Real Analysis Fall 2013 • Question 8

Determine the numbers of zeroes of the polynomial \(z^4+2x^2+5z+1\) in the set \(|z|\le 1\).

Raw LaTeX

Determine the numbers of zeroes of the polynomial
\(z^4+2x^2+5z+1\) in the set \(|z|\le1\).

Topic Tags

Zeros of Holomorphic Functions and the Identity Theorem