6. This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

7. MISC. 500 400 300 200 100 Polynomial No Calc 500 100 200 300 400 Polynomial Calc O.K. 500 400 300 200 100

8. Back f(x)=?? (-3,0) (-8,0) (3,0) (0,4) f(x)=(-1/432)(x+8) 2 (x+3) 2 (x-3)

9. Back Given f(x) =(x-2) 2 (x+1) 3 (x-3) As x  -  f(x)  As x  f(x)  Sketch the graph of f(x) using the intercepts. f(x) =(x-2) 2 (x+1) 3 (x-3)

10. Back Write a quartic polynomial with the the only real zero of 1. You also know 1-i is a complex zero. g(x)=x 4 -4x 3 +7x 2 -6x+2 work

11. Back Find a cubic function with integral coefficients that has no quadratic term if one root is 3 + i  2 y=x 3 -25x+66

12. If p(x) = x 4 – 8x 2 – 8x – 1 List at least 3 things that p(-3) represents. Back 32 is the remainder when divided by x+3, -3 is not a zero.

13. If three of the zeros of g(x) are -1,3, and 2 - i. Find the other zeros. g(x)=x 6 -6x 5 +14x 4 -22x 3 +25x 2 +8x-60 2 + i, 2i, -2i

14. Back Given k(x) =2x 4 +15x 3 –126x 2 +759x –350 Write as a product of linear terms. y=(x+14)(2x-1)(x-(3+4i))(x-(3-4i))

15. Back Factor completely. y = 3x 4 + 10x 3 +24x 2 +22x+5 y=(x+1)(3x+1)(x-(-1+2i))(x-(-1-2i))

16. Back Find all zeros. -4,-1,1,2

17. Back Write a cubic polynomial function with integer coefficients and positive leading coefficient whose zeros are -1/3, 0, and 2/5. y = 15x 3 - x 2 - 2x

18. Back Find the polynomial equation with integer coefficients of least degree, and positive leading coefficient as small as possible, for which 1 - 2i is a double root. x 4 -4x 3 +14x 2 -20x+25 work

19. Back Find “k” so that (x+1) is a factor of j(x) =2x 3 +(k+1)x 2 -6kx- 11 K= 12/7

20. Back What is the remainder when 2x 4 -9x 2 +17x+3 is divided by (x+3)? R(x)=33

21. Back If r(x) =6x 4 -4x 3 -14x 2 -20x+25 The sum of the zeros is ___,the product of the zeros is___, the product taken two at a time is ___, taken three at a time is __. 2/3 25/6 -7/3 10/3

22. Back If r(x) =6x 4 -4x 3 +14x 2 -20x-25 Descartes says… The rational root theorem says … 3 or 1 positive real zeros and one negative real zero.

23. Back Review: pp. 232-33 # 23,29 without the calculator graph using the intercepts, 47,52 p. 276 # 1 – 7 Fill in the blank p. 277 # 1,2,4,5 True/False p. 277 – 78 # 1,3,35,39,55 CALC QUIZ WED (20 minutes, 15 pts) NO CALC QUIZ THUR (50 minutes, 35 points)

24. Handout 1

25. Non Calculator quiz. Polynomials: End behavior, Descartes’ Rule of Signs, Rational Zeros Test, Factor and Remainder Thm Calculator quiz: Find all zeros and completely factor.

26. Polynomial No Calc 100

27. Polynomial No Calc 200

28. Polynomial No Calc 300

29. Polynomial No Calc 400

30. Polynomial No Calc 500

31. Polynomial 100

32. Polynomial 200

33. Polynomial 300

34. Polynomial 400

35. Polynomial 500

37. Misc 100

38. Misc 200

39. Misc 300

40. Misc 400

41. Misc 500

43. Back f(x)=?? (-3,0) (-8,0) (3,0) (0,4) f(x)=(-1/432)(x+8) 2 (x+3) 2 (x-3)

44. Back Given f(x) =(x-2) 2 (x+1) 3 (x-3) As x  -  f(x)  As x  f(x)  Sketch the graph of f(x) using the intercepts. f(x) =(x-2) 2 (x+1) 3 (x-3)

45. Back Write a quartic polynomial with the the only real zero of 1. You also know 1-i is a complex zero. g(x)=x 4 -4x 3 +7x 2 -6x+2

46. Back Find a cubic function with integral coefficients that has no quadratic term if one root is 3 + i  2 y=x 3 -25x+66

47. If p(x) = x 4 – 8x 2 – 8x – 1 List at least 3 things that p(-3) represents. Back

48. If three of the zeros of g(x) are -1,3, and 2 - i. Find the other zeros. g(x)=x 6 -6x 5 +14x 4 -22x 3 +25x 2 +8x-60 2 + i, 2i, -2i

49. Back Given k(x) =2x 4 +15x 3 –126x 2 +759x –350 Write as a product of linear terms.

50. Back Factor completely. y = 3x 4 + 10x 3 +24x 2 +22x+5

51. Back Find all zeros. -4,-1,1,2

52. Back Write a cubic polynomial function with integer coefficients and positive leading coefficient whose zeros are -1/3, 0, and 2/5. y = 15x 3 - x 2 - 2x

53. Back Find the polynomial equation with integer coefficients of least degree, and positive leading coefficient as small as possible, for which 1 - 2i is a double root. x 4 -4x 3 +14x 2 -20x+25

54. Back Find “k” so that (x+1) is a factor of j(x) =2x 3 +(k+1)x 2 -6kx- 11 K= 12/7

55. Back What is the remainder when 2x 4 -9x 2 +17x+3 is divided by (x+3)? R(x)=33

56. Back If r(x) =6x 4 -4x 3 +14x 2 -20x+25 The sum of the zeros is ___,the product of the zeros is___, the product taken two at a time is ___, taken three at a time is __.

57. Back If r(x) =6x 4 -4x 3 +14x 2 -20x-25 Descartes says… The rational root theorem says …

58. Back Review: pp. 232-33 # 1-30 PP. 277 # 1-20,25-56 ARE PROBLEMS THAT YOU MAY SEE, ALONG PROBLEMS DISCUSSED IN CLASS.

59. Back Write a quartic polynomial with the the only real zero of 1. You also know 1-i is a complex zero.

60. Back Find the polynomial equation with integer coefficients of least degree, and positive leading coefficient as small as possible, for which 1 - 2i is a double root. x 4 -4x 3 +14x 2 -20x+25