What is the remainder when x^3 - 1 is divided by (x + 2)?

-9

Step-by-step explanation:

Use synthetic division here.  The divisor will be -2, which comes from the divisor (x + 2):

-2    /      1    0    0    -1

                   -2    4    -8

              1      -2   4    -9

The remainder is -9.