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Implement a Java program that applies the Newton-Raphson's method x n+1 = x n f(x n ) / f '(x n ) to search the

Implement a Java program that applies the Newton-Raphson's method xn+1 = xn f(xn) / f '(xn) to search the roots for this polynomial function 9x6 8x5 + 7x4 6x3+ 5x2 4x + 3 = 0. The program terminates when the difference between the new solution and the previous one is smaller than 0.00001 within 2000 iterations. Otherwise, it shows Not Found as the final solution.

Your teams goal is to find as many roots as possible. For the Newton-Raphsons method, you will need to start with a guessed x0 value which can be randomly generated. List out each guessed x0 value, the derived root, the number of iteration for finding the root, and the value of the polynomial function by plugging in the root.

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