Which are the real zeros of this function?
f(x) = x3 – 6x2 – 16x

To find the zeros of the function  we need to factorize the expression.



a nice way to factorize , if possible, is by completing the square as follows:





now we use the difference of squares formula :



finally, we combine the results:



the zeros of f, are the values of x which make f(x)=0,

they are x=0, x=-2 and x=8

{-2, 0, 8}