6x^3+4x^2-2x+5 divided by 3x^2+2x+1

Answer 1

To divide the polynomial (6x^3 + 4x^2 - 2x + 5) by (3x^2 + 2x + 1), you can use long division.

```
2x^2 - x + 4
--------------------------
3x^2 + 2x + 1 | 6x^3 + 4x^2 - 2x + 5
- (6x^3 + 4x^2 + 2x)
----------------------
-4x + 5
- (-4x - 2)
---------------
7
```

The quotient is 2x^2 - x + 4 and the remainder is 7.