I need to find the critical numbers of the function f(x)=x(2-x)^2/5
I found the derivative to be f'(x)= -(2/5)x (2-x)^(-3/5) + (2-x)^(2/5)
But now I'm at a loss at how to factor the equation to find the values for x. Could someone give me a push in the right direction? Any help would be appreciated. Thanks!