# How do you factor #(x^5) - (x^4) + (x^3) - (x^2) - 12x + 12#?

##### 1 Answer

Jun 16, 2015

#### Answer:

#### Explanation:

The sum of the coefficients is zero, that is:

So

The remaining quartic factor is actually quadratic in

The first of these can be viewed as a difference of squares:

...using the difference of squares identity:

The remaining quadratic factor has no linear factors with real coefficients, since