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I need some help in my numerical analysis class. Im doing polynomial deflation while using newtons method to find the roots as well as complex

I need some help in my numerical analysis class. Im doing polynomial deflation while using newtons method to find the roots as well as complex roots. I need to make a C program code to make any polynomial and find all its roots. The only inputs I'm allowed to in the code are the degree and coeffients of the polynomial.

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