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Algebraic Factorization Jeopardy Challenge

Test your factoring skills with these algebraic expressions ranging from perfect cubes to binomials. Solve and conquer the Jeopardy! board!

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Algebraic Factorization Jeopardy Challenge

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  1. Jeopardy Factor then Solve Perfect Cubes Trinomials Binomials Misc. Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500 Final Jeopardy

  2. $100 Question from H1 x2 - 7x - 8

  3. $100 Answer from H1 (x + 1)(x – 8)

  4. $200 Question from H1 5a2 + 14a - 3

  5. $200 Answer from H1 (5a – 1)(a + 3)

  6. $300 Question from H1 18a2 + 27a + 10

  7. $300 Answer from H1 (6a + 5)(3a + 2)

  8. $400 Question from H1 20a2 + 20a - 99

  9. $400 Answer from H1 prime

  10. $500 Question from H1 3a2 – 7a - 20

  11. $500 Answer from H1 (3a + 5)(a – 4)

  12. $100 Question from H2 x2 - 64

  13. $100 Answer from H2 (x – 8)(x + 8)

  14. $200 Question from H2 4b2 – a2

  15. $200 Answer from H2 (2b – a)(2b + a)

  16. $300 Question from H2 16x4 + 9

  17. $300 Answer from H2 prime

  18. $400 Question from H2 81a4 – b4

  19. $400 Answer from H2 (3a – b)(3a + b)(9a2 + b2)

  20. $500 Question from H2 y6 – x6

  21. $500 Answer from H2 (y – x)(y2 + xy + x2)(y + x)(y2 – xy + x2) Or (y – x)(y + x)(y4 + x2y2 + x4)

  22. $100 Question from H3 C3 - 27

  23. $100 Answer from H3 (c – 3)(c2 + 3c + 9)

  24. $200 Question from H3 x3 + 125

  25. $200 Answer from H3 (x + 5)(x2 – 5x + 25)

  26. $300 Question from H3 8a3 – b3

  27. $300 Answer from H3 (2a – b)(4a2 + 2ab + b2)

  28. $400 Question from H3 125a6 + 8

  29. $400 Answer from H3 (5a2 + 2)(25a4 – 10a2 + 4)

  30. $500 Question from H3 3x6 + 24y3

  31. $500 Answer from H3 3(x2 + 2y)(x4 – 2x2y + 4y2)

  32. $100 Question from H4 12a2 – 48a + 64

  33. $100 Answer from H4 4(3a2 – 12a + 16)

  34. $200 Question from H4 9a2 – 48a + 64

  35. $200 Answer from H4 (3a – 8)2

  36. $300 Question from H4 A – A3

  37. $300 Answer from H4 A(1 – A)(1 + A)

  38. $400 Question from H4 8a3 + 2a2b – 8ab2 – 2b3

  39. $400 Answer from H4 2(4a + b)(a – b)(a + b)

  40. $500 Question from H4 12ax + 4ay – 21bx – 7by

  41. $500 Answer from H4 (3x + y)(4a – 7b)

  42. $100 Question from H5 c2 + 7c - 18

  43. $100 Answer from H5 (c + 9)(c – 2) c = -9 and c = 2

  44. $200 Question from H5 6a2 – a - 2

  45. $200 Answer from H5 (3a – 2)(2a + 1) a = 2/3 and a = -1/2

  46. $300 Question from H5 42a2 + 3a - 9

  47. $300 Answer from H5 3(7a – 3)(2a + 1) a = 3/7 and a = -1/2

  48. $400 Question from H5 24d5 + 66d4 – 63d3

  49. $400 Answer from H5 3d3(4d – 3)(2d + 7) d = 0, 0, 0, ¾, -7/2

  50. $500 Question from H5 (a – 4)2 - 25

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