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Complex Analysis: Use Rouche's Theorem and Argument Principle to determine the number of roots of p(z)=z^4-2z^3+13z^2-2z+36 which...

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Advance Math

Complex Analysis:

Use Rouche's Theorem and Argument Principle to determine thenumber of roots of p(z)=z^4-2z^3+13z^2-2z+36 which lie in eachquadrant of the plane.

(Hint: Consider |z|=5 and |z|=1)

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