# How do you divide #(3x^3+4x^2+2x+5)/(x-4)# ?

The remainder is

Now let's execute the artificial division.

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To divide (3x^3+4x^2+2x+5) by (x-4), you can use long division or synthetic division. Here is the solution using long division:

```
3x^2 + 16x + 66
```

x - 4 | 3x^3 + 4x^2 + 2x + 5 - (3x^3 - 12x^2) __________________ 16x^2 + 2x - (16x^2 - 64x) ______________ 66x + 5 - (66x - 264) ______________ 269

Therefore, the quotient is 3x^2 + 16x + 66 and the remainder is 269.

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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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