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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Fall 1995 • Question 10

Question

Math 6210 • Real Analysis Fall 1995 • Question 10

How many zeroes (counting multiplicity) does the function \(f(z)=z^4+6z^3+2z^2-z+1\) have inside the region \(|z|<1\).

Raw LaTeX

How many zeroes (counting multiplicity) does the function
\(f(z)=z^4+6z^3+2z^2-z+1\) have inside the region \(|z|<1\).

Topic Tags

Zeros of Holomorphic Functions and the Identity Theorem