# How do you divide #( x^3-12x^2+3x-4)/(x-2)#?

So it is:

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To divide (x^3-12x^2+3x-4) by (x-2), you can use long division or synthetic division. Here is the solution using long division:

```
x^2 - 10x + 23
_______________________
```

x - 2 | x^3 - 12x^2 + 3x - 4 - (x^3 - 2x^2) _______________ -10x^2 + 3x - (-10x^2 + 20x) _______________ -17x - 4 - (-17x + 34) _______________ 30

Therefore, the quotient is x^2 - 10x + 23 and the remainder is 30.

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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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