Given f(x) = x3 – 2x2 – x + 2,

the roots of f(x)

For this case we must follow the steps below:

We factor the polynomial, starting by factoring the maximum common denominator of each group:

We factor the maximum common denominator

Now, by definition of perfect squares we have:

Where:

Now, we can rewrite the polynomial as:

To find the roots we equate to 0:

So, the roots are:

x= 3^y

step-by-step explanation: