The expression x^3 + 3x^2 - 2x + 7 divided by x - 2 can be evaluated using polynomial long division or synthetic division. Let's use polynomial long division to evaluate the expression.
```
x^2 + 5x + 8
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x - 2 | x^3 + 3x^2 - 2x + 7
- (x^3 - 2x^2)
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5x^2 - 2x
- (5x^2 - 10x)
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8x + 7
- (8x - 16)
___________
23
So, the result of the division is x^2 + 5x + 8 with a remainder of 23.
Therefore, the expression x^3 + 3x^2 - 2x + 7 divided by x - 2 is equal to x^2 + 5x + 8 with a remainder of 23.
