Part A

Directions: For Problems 1 - 10: Use the long division method to divide the following polynomials.

1. (x² + 2x -15) (x -3)

2. (a² - a -30) (a - 6)

3. (b² - 6b + 9) (b -3)

4. (2y² - 9y + 10) (y -2)

5. (2m² + 3m - 9) (m + 3)

6. (4a² + 22a - 12) (a + 6)

7. (x³ + 4x² + x - 6) (x + 2)

8. (6b³ - 24b -6b² + 24) (b² - 4)

9. (5a²b +4ba -15a - 12) (ab - 3)

10.(p⁵ + 4p⁴ - 2p³ - 16p² -8p) (p³ - 4p)

Part B

Directions: For Problems 11 - 20: Check your work from above and multiply the quotient that you determined by the divisor to see if you come up with the dividend as your answer. Rewrite the original division problem as a multiplication problem with the solution.

The original multiplication problems have been listed for you. If you find that you have completed one of the above problems in error after you use multiplication to check it, then go back and show your work as you simplify it correctly.

11. (x² + 2x -15) (x -3) =

12. (a² - a -30) (a - 6) =

13. (b² - 6 + 9) (b -3) =

14. (2y² - 9y + 10) (y -2) =

15. (2m² - 3m - 9) (m + 3) = (2m - 3)

16. (4a² + 22a - 12) (a + 6) = (4a - 2)

17. (x³ + 4x³ + x -6) (x + 2) = (x² + 2x -3)

18. (6b³ - 24b -6b² + 24) (b² - 4) = (5b + b -6)

19. (5a²b +4ba -15a - 12) (ab - 3) = (5a + 4)

20. (p⁵ + 4p⁴ - 2p³ - 16p² -8p) (p³ - 4p) = (p² + 4p +2)