# How do you factor completely # P(x)= x^3-2x^2+x-2#?

##### 1 Answer

Mar 4, 2018

Factored over the real numbers:

Factored over the complex numbers:

#### Explanation:

We can factor by grouping:

This is all we can factor over the real numbers, but if we include complex numbers, we can factor the remaining quadratic even further using the difference of squares rule:

This gives the following complex factoring: