I try to devellop an algorithm to find roots of any polynom using the Newton Raphson method
x = x - fx/f'x
for ex f(x) = x^5 -3^2 + 4
x = x - (x^5 -3^2 + 4) / (5*x^4 -6*x)
and repeat for each result of x until you get f(x) = 0
the problem is the method get only one solution according to the first x we choose
which x to choose for xo ?
and how to know if the are another solution ?
Thanks in advance