polynomial-roots-calculation

Application for polynomial roots calculation.

The application does the job by supposing the roots of the derivative function are known.
This way, we can delimit the range where each possible root is in, and by applying Bolzano's theorem, we can find the zeroes.

It is not a very eficient way, as we must calculate al the derivatives of the polinomial, implying very high numbers (n!), that make the needed precision increase, making the computational complexity for high-degree polinomials poor.

But I have been able to make it work with a 40-degree polynomial, with two very proximal zeroes arround x=1000.
It needs a precision of arround 60 digits.

The problem comes with very-high degree polynomials.
The higher is the degree, the faster the execution time increases.

But for common examples, the application does the job well.