To find the value of X^3 - X^2 - X - 1 when X = -2, we substitute -2 for X in the expression:
(-2)^3 - (-2)^2 - (-2) - 1
Simplifying the expression, we get:
-8 - 4 + 2 - 1
= -12 + 1
= -11
Therefore, when X = -2, the value of X^3 - X^2 - X - 1 is equal to -11. The correct answer is option C.