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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...

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 lie in each quadrant of the plane.

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

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