Answer:
The remainder is 9
Explanation:
Mikey, I'm going to find the answer to this problem using synthetic division.
x^3 - 1 needs to be written as 1x^3 + 0x2 - 0x - 1. Thus, the coefficients for x^3 - 1 are {1, 0, 0, -1}.
Division of x^3 - 1 by x + 2 requires that we use -2 as a possible root/solution. Setting up synthetic division, we get:
-2 / 1 0 0 -1
-2 4 -8
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1 -2 4 -9 The remainder is 9.