1. The problem statement, all variables and given/known data Use Newton's Method to find the critical numbers of the function f(x) = 2x^5 - 5x^2 - 20x + 12 correct to three decimal places 2. Relevant equations 3. The attempt at a solution f'(x) = 10x^4-10x-20 = 10(x^4-x-2) = 10(x+1)(x^3-x^2+x-2) I'm not really sure what Newton's method is, so I just tried factoring the derivative, but I can't factor it any further and I don't know what to do from here. HELP!