# How do you divide #( x^3 + x^2 + 4x + 4 )/(x - 2 )#?

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To divide (x^3 + x^2 + 4x + 4) by (x - 2), you can use long division or synthetic division. Here is the solution using long division:

```
x^2 + 3x + 10
_______________________
```

x - 2 | x^3 + x^2 + 4x + 4 - (x^3 - 2x^2) _______________ 3x^2 + 4x - (3x^2 - 6x) _______________ 10x + 4 - (10x - 20) _______________ 24

Therefore, the quotient is x^2 + 3x + 10 and the remainder is 24.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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