Final answer:
The remainder when (x³ - 2) is divided by (x - 1) is -2.
Step-by-step explanation:
To find the remainder when (x³ - 2) is divided by (x - 1), we can use polynomial division. Here are the steps:
- Divide x³ by x to get x².
- Multiply x - 1 by x² to get x³ - x².
- Subtract x³ - x² from x³ - 2 to get -x² - 2.
- Divide -x² by x to get -x.
- Multiply x - 1 by -x to get -x² + x.
- Subtract -x² + x from -x² - 2 to get -2.
Therefore, the remainder when (x³ - 2) is divided by (x - 1) is -2.