The generalized form of the Newton Method to find the roots of a polynomial to the n-th degree is given by the following equation: 

Xk+1 = Xk - (f(Xk)/f'(Xk))

where Xk is an initial guess and f(Xk) is the value of the polynomial evaluated at Xk, and f'(Xk) is the derivative of the polynomial evaluated at Xk.
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