The remainder, when x³ - x² + x - 1 is divided by x + 1, is :

1. 0

2. -4

3. 2

4. 4

By remainder theorem,

The remainder theorem states that when a polynomial f(x) is divided by (x - a), then the remainder = f(a).

Given,

⇒ x + 1 = 0

⇒ x = -1.

Substituting x = -1 in x³ - x² + x - 1 , we get :

⇒ (-1)³ - (-1)² + (-1) - 1

⇒ -1 - 1 - 1 - 1

⇒ -4.

Hence, Option 2 is the correct option.