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    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?

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    https://brainmass.com/math/basic-algebra/proving-the-fundamental-theorem-of-algebra-by-using-rouche-s-theorem-6349

    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

    $2.49

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