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$100. $100. $100. $100. $200. $200. $200. $200. $300. $300. $300. $300. $300. $400. $400. $500. $500. $500. $500. $500. $100. $200. $400. $400. $400. Division of Polynomials. Find all zeros. Graphing. Theorems. Fun Problems. Division of Polynomials. Find all zeros.

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$100

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  1. $100 $100 $100 $100 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $500 $500 $500 $500 $500 $100 $200 $400 $400 $400

  2. Division of Polynomials

  3. Find all zeros

  4. Graphing

  5. Theorems

  6. Fun Problems

  7. Division of Polynomials Find all zeros Fun Problems Graphing Theorems $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500

  8. CATEGORY 1 - $100

  9. CATEGORY 1 - $200 ()

  10. CATEGORY 1 - $300 1. F from review (2x3+ 2x2 - x + 6)

  11. CATEGORY 1 - $400

  12. CATEGORY 1 - $500 • 2. From Review • Divide (3x4 + 2x2 - x + 8) by (x - 1)

  13. CATEGORY 2 - $100 • 1. D. From review • Which of the following are possible descriptions of f(x), based on the fact that you only know it has a degree of 3? • i. 3 real roots • ii. 2 real roots and 1 imaginary root • iii. 1 real root and 2 imaginary roots • iv. 3 imaginary roots

  14. CATEGORY 2 - $200 10. From review. Find all zeros of the following x3 – x2 + 9x – 9 = 0

  15. CATEGORY 2 - $300 11. From review Find all zeros of the following x3 + 8x2 + 16x = 0

  16. CATEGORY 2 - $400 • F. from review • Find all complex roots of f • f(x) = 2x3 + 2x2 - x + 6

  17. CATEGORY 2 - $500 Find all the zeros of the following

  18. CATEGORY 3 - $100 P(x) = 3x17– 2x2 – 2x – 5 Find the degree

  19. CATEGORY 3 - $200 Create a polynomial that is symmetric about the origin

  20. CATEGORY 3 - $300 15. On the review Find the end behavior of P(x) = 3x3 – 2x2 – 2x – 5

  21. CATEGORY 3 - $400 17. On review Find the relative minimum and relative maximum P(x) = 3x3 – 2x2 – 2x – 5

  22. CATEGORY 3 - $500 Find the relative minimum and maximum of P(x)=

  23. CATEGORY 4 - $100 Relates to 1.A. on the review Use the remainder theorem to decide if x-3 is a factor of f(x) = 2x3 + 2x2 - x + 6

  24. CATEGORY 4 - $200 E. on review List all the possible rational roots of f(x) = 2x3 + 2x2 - x + 6

  25. CATEGORY 4 - $300 • 3. On review • Write a quadratic with roots 2 + i and 2 - i

  26. CATEGORY 4 - $400 • How many roots does • x(x3+ 8)(x - 2)(x + 6)2 • have? Find them.

  27. CATEGORY 4 - $500 Write a quadratic equation which has the following root:

  28. CATEGORY 5 - $100 • 4. On the review • Write a cubic function with roots of 4 and 5i

  29. CATEGORY 5 - $200 • 7. On review • Sketch a graph of a cubic function that has the following properties. If it’s impossible state why. • 1 real root • 2 real roots • 3 real roots • 4 real roots

  30. CATEGORY 5 - $300 Draw a graph that has three double roots.

  31. CATEGORY 5 - $400 Find all zeros of

  32. CATEGORY 5 - $500 Find the roots and the multiplicity of each root for P(x).

  33. CATEGORY 1 - $100

  34. CATEGORY 1 - $200

  35. CATEGORY 1 - $300

  36. CATEGORY 1 - $400

  37. CATEGORY 1 - $500

  38. CATEGORY 2 - $100 3 real roots iii. 1 real root and 2 imaginary roots

  39. CATEGORY 2 - $200

  40. CATEGORY 2 - $300

  41. CATEGORY 2 - $400

  42. CATEGORY 2 - $500

  43. CATEGORY 3 - $100 Degre=17

  44. CATEGORY 3 - $200 You should have created a polynomial that is odd. Your polynomial should have all odd exponents

  45. CATEGORY 3 - $300 As x-, y - As x, y

  46. CATEGORY 3 - $400 Relative Max.= -4.66 Relative Min.= -6.36

  47. CATEGORY 3 - $500 Rel. Max.=7.51 Rel. Min.= -1.51

  48. CATEGORY 4 - $100 f(3)=75 so according to the remainder theorem x-3 is not a factor of f(x)

  49. CATEGORY 4 - $200 2,3,6,,

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