Determine the number of zeros-counting multiplicities


Discussion:

Q: Use Rouche's Theorem to determine the number of zeros, counting multiplicities, of the polynomials inside the given regions.

a) z^4 + 3z^3 + 6 inside the circle |z| = 2

b) 2z^5 - 6z^2 + z + 1 in the annulus 1 <= |z| < 2

 

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Mathematics: Determine the number of zeros-counting multiplicities
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