# How do you divide #(x^3-10x^2+30x+3)/(x-5)#?

Use long division or synthetic division.

First step: Realize that

You are left with

All together, the answer would be written as:

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To divide (x^3-10x^2+30x+3) by (x-5), you can use long division or synthetic division. Here is the solution using long division:

```
x^2 - 5x + 25
_______________________
```

x - 5 | x^3 - 10x^2 + 30x + 3 - (x^3 - 5x^2) _________________ -5x^2 + 30x - (-5x^2 + 25x) _________________ 5x + 3 - (5x + 25) _________________ -22

Therefore, the quotient is x^2 - 5x + 25 and the remainder is -22.

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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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