# Proving the fundamental theorem of algebra by using Rouche's theorem.

How do I prove the fundamental theorem of algebra by using Rouche's theorem?

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#### Solution Preview

Proof:Suppose the polynomial to be

a_0+a_1z+a_2z^2+...+a_(n-1)z^(n-1)+a_nz^n

where a_n is not equal 0.

Let ...

#### Solution Summary

The fundamental theorem of algebra is proven by using Rouche's theorem

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