The function $\displaystyle f(x)= x^{2}(x+2) $ has a 1-2 distribution of zeros while the function $\displaystyle g(x) = x^{2}(x+2) $ has a 2-1 distribution of zeros. For what values of "a" will $\displaystyle f(x) = x^{2}(x+2) +a $ have a 1-1-1 distribution of zeros? For what values of "b" will $\displaystyle g(x)= x^{2}(x+2) - b $ have a 1-1-1 distribution of zeros?


I'm not understanding this? any knowledge about distribution of zeros would be helpful.