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Quiz on Remainder and Factor Theorem

Quiz on Remainder and Factor Theorem
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2020-10-31 05:16
FunctionGeometric Construction
In collections Grade 12 PreCalculus BC
This example demonstrates the application of the Remainder Theorem and Factor Theorem in polynomial functions. Key math concepts include polynomial division, the Remainder Theorem, and the Factor Theorem. It utilizes GeoGebra commands like Random, RandomElement, Shuffle, Element, Simplify, Remove, Expand, Division, If, Textfield, AreEqual, and Corner for construction. Suitable for high school mathematics education to assist students in understanding the application of polynomial theorems.

GeoGebra Commands & Parameters

  1. Random(1, 4) → q3listran
  2. Random(1, 5) → r2
  3. Random(1, 5) → r3
  4. Random(-5, -1) → r4
  5. Random(-5, -1) → r5
  6. RandomElement({-8, -10, 0, 0, 0, 8, 9, 10}) → r6
  7. Random(1, 5) → r1
  8. Shuffle(rlist) → rshlist, {-4, 4, -5, 8, 4, 4}
  9. Element(rshlist, 3) → rr3
  10. Element(rshlist, 1) → rr1
  11. Element(rshlist, 2) → rr2
  12. RandomElement(halist) → ha
  13. RandomElement(gblist) → gb
  14. RandomElement(galist) → ga
  15. Simplify((ga * x) + gb) → q3rhslinear
  16. Element(q3list, q3listran) → q3base
  17. Simplify((ha * x^(2)) + q3rhslinear(x)) → q3rhsquad
  18. Remove({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}, {rr1, rr2, (-rr2)}) → clist
  19. RandomElement(clist) → cC
  20. RandomElement(listf) → f
  21. Expand(f) → fexp
  22. Element(rshlist, 4) → rr4
  23. Element(rshlist, 5) → rr5
  24. Simplify(f) → ff
  25. Simplify(q3base(x) + q3rhsquad(x)) → q3lhsquad
  26. Division(fexp, g1) → q1
  27. Element(q1, 1) → q2ans
  28. Simplify(q3base(x) + q3rhslinear(x)) → q3lhslinear
  29. Random(1, 2) → q3ran
  30. If(q3ran ≟ 1, q3lhslinear, q3lhsquad) → q3lhs
  31. If(q3ran ≟ 1, q3rhslinear, q3rhsquad) → q3rhs
  32. If(q3listran ≟ 1, rr1 + rr2 + rr3, If[q3listran ≟ 2, rr1 + rr2, rr1]) → q3sumans
  33. If(q3listran ≟ 1, 3, If[q3listran ≟ 2, 2, If[q3listran ≟ 3, 3, 1]]) → q3nans
  34. Textfield(q1studans) → InputBox1
  35. Textfield(q2studans) → InputBox2
  36. Textfield(q3nstud) → InputBox3
  37. Textfield(q3sumstud) → InputBox4
  38. AreEqual(InputBox1, q1ans) → corrq1
  39. AreEqual(InputBox3, q3nans) → corrq3a
  40. AreEqual(InputBox4, q3sumans) → corrq3b
  41. Corner(5) → dims

AI Drawing Prompt Reference

Create an interactive math quiz interface for practicing the Remainder and Factor Theorem. The layout includes a polynomial division problem displayed at the top, with randomly generated linear or quadratic expressions. Below, place four input boxes for the quotient, remainder, degree, and sum of roots, each accompanied by a checkmark or cross indicating correctness. The background features a light grid, and a polynomial function graph is shown on the side with key points marked. The design is clean and suitable for high school students.
The prompt above was compiled from the original drawing commands and is for reference only.