To divide (х^4 + х^3 + х^2 - х - 2) by (х^3 + х - 2), we need to perform polynomial long division.

Here is the division process:

х + 3
____________________

х^3 + х - 2 | х^4 + х^3 + х^2 - х - 2
-(х^4 + х^2 - 2х)

х^3 - х^2 - х
-(х^3 - х^2 + 2)
_______________
2х - 2

Therefore, the result of dividing (х^4 + х^3 + х^2 - х - 2) by (х^3 + х - 2) is х + 3 with a remainder of 2х - 2.