Given f(x) = x3 – 2x2 – x + 2, the roots of f(x) are

You have the following expression given in the problem:

f(x) = x³ – 2x² – x + 2

 Therefore, to find the roots, you must apply the proccedure shown below:

 1. You have:

 0 = x3 – 2x2 – x + 2

 2. Then, when you factor, you obtain:

 (x-2)(x-1)(x+1)=0

 3. Therefore, you have that the roots are the following:

 x1=-1
 x2=1
 x3=2