Question

Use the long division method to find the result when x³ + 7x² + 15x + 25 is divided by x+ 5.

Answer 1

To perform long division, we will follow these steps:

```
-x² - 2x + 5
x + 5 | x³ + 7x² + 15x + 25
-x³ - 5x²
-----------
2x² + 15x
2x² + 10x
-----------
5x + 25
5x + 25
--------
0
```

Therefore, the result when x³ + 7x² + 15x + 25 is divided by x + 5 is:

x² - 2x + 5