1. PolynomdivisionPolynomdivision

2. (x 3 – 3 x 2 – 2 x + 4) : (x – 1) =

3. x3 x3 : x = x2x2 x2x2

4. x 3 : x = x 2 x2x2 x2 x2 · (x–1) = x 3 –x 2 x3 x3 - x2x2

5. (x 3 – 3 x 2 – 2 x + 4) : (x – 1) = x2x2 x 3 - x 2 -2x 2 – 2x

6. (x 3 – 3 x 2 – 2 x + 4) : (x – 1) = x2x2 x 3 - x 2 -2x 2 – 2x -2x 2 : x = -2x - 2x

7. (x 3 – 3 x 2 – 2 x + 4) : (x – 1) = x2x2 x 3 - x 2 -2x 2 – 2x -2x 2 : x = -2x - 2x · (x–1) = -2x 2 +2x -2x 2 + 2x

8. (x 3 – 3 x 2 – 2 x + 4) : (x – 1) = x2x2 x 3 - x 2 -2x 2 – 2x - 2x -2x 2 + 2x -4x + 4

9. (x 3 – 3 x 2 – 2 x + 4) : (x – 1) = x2x2 x 3 - x 2 -2x 2 – 2x - 2x -2x 2 + 2x -4x + 4 -4x : x = -4 - 4

10. (x 3 – 3 x 2 – 2 x + 4) : (x – 1) = x2x2 x 3 - x 2 -2x 2 – 2x - 2x -2x 2 + 2x -4x + 4 -4x : x = -4 -4 · (x–1) = -4x+4 -4x + 4

11. (x 3 – 3 x 2 – 2 x + 4) : (x – 1) = x 2 – 2x - 4 x 3 - x 2 -2x 2 – 2x -2x 2 + 2x -4x + 4 0