Proving the fundamental theorem of algebra by using Rouche's theorem.
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How do I prove the fundamental theorem of algebra by using Rouche's theorem?
© BrainMass Inc. brainmass.com December 24, 2021, 4:46 pm ad1c9bdddfhttps://brainmass.com/math/basic-algebra/proving-the-fundamental-theorem-of-algebra-by-using-rouche-s-theorem-6349
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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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