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    How many roots does the polynomial​
    Question

    How many roots does the polynomial


    A.

    100

    B.

    50

    C.

    30

    D.

    0

    Correct option is C

    Result used : (Rouche theorem) 

    Let f(z) and g(z) be holomorphic (analytic) functions inside and on a closed contour C

    in the complex plane. if |g(z)| < |f(z)| for all z on C, then f(z) and h(z) = f(z) + g(z)

    have the same number of zeros inside C , counted with multiplicities.



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