1. 1 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt Synthetic Division Division Theorems Zeros Polynomial Division/Fac toring Category 5

2. 2 Divide using synthetic division, and write a summary statement in fraction form.

3. 3

4. 4

5. 5

6. 6 Use synthetic division to determine whether the number k is an upper bound for the real zeros of the function f. k = 1;

7. 7 Yes

8. 8 Answer 4

9. 9 Question 4

10. 10 Answer 5

11. 11 Question 5

12. 12 Find the remainder when f(x) is divided by (x-k); k=-4

13. 13 5

14. 14 Find the remainder when x 48 + 6 is divided by x+1

15. 15 7

16. 16 Find the remainder when f(x) is divided by (x-k) k = -2

17. 17 45

18. 18 Answer 9

19. 19 Question 9

20. 20 Answer 10

21. 21 Question 10

22. 22 Use the Rational Zeros Theorem to write a list of all potential zeros

23. 23 ±1, ±1/2, ±7, ±7/2, ±1/7, ±1/14

24. 24 Find all rational zeros

25. 25 -1/3, ¼, -4

26. 26 Find all of the real zeros of the function. Give exact values whenever possible. Identify each zero as rational or irrational.

27. 27 5 (rational), 1+√5 (irrational), and 1-√5 (irrational)

28. 28 Answer 14

29. 29 Question 14

30. 30 Answer 15

31. 31 Question 15

32. 32 Divide f(x) by d(x), and write a summary statement in fractional form

33. 33

34. 34 Divide f(x) by d(x), and write a summary statement in polynomial form

35. 35

36. 36 Find the cubic function with the given table of values x-5-217 f(x)024300

37. 37

38. 38 Answer 19

39. 39 Question 19

40. 40 Answer 20

41. 41 Question 20

42. 42 Answer 21

43. 43 Question 21

44. 44 Answer 22

45. 45 Question 22

46. 46 Answer 23

47. 47 Question 23

48. 48 Answer 24

49. 49 Question 24

50. 50 Answer 25

51. 51 Questions 25