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Quiz on Polynomial Properties

Quiz on Polynomial Properties
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2020-10-31 05:15
FunctionCalculusGeometric Construction
In collections Grade 12 PreCalculus BC
This example demonstrates an interactive quiz on polynomial properties, covering concepts like expansion, factoring, and degree determination. It utilizes GeoGebra commands such as Textfield, RandomElement, Shuffle, If, Expand, Factor, and Degree, along with objects like r6list and InputBox, to generate random problems and evaluate answers. Ideal for high school mathematics education to reinforce polynomial fundamentals.

GeoGebra Commands & Parameters

  1. Textfield(studc2) → InputBox4
  2. Textfield(studc1) → InputBox3
  3. RandomElement(r6list) → r6
  4. Random(1, 5) → r1
  5. Random(-5, -1) → r5
  6. Random(-5, -1) → r4
  7. Random(1, 5) → r3
  8. Random(1, 5) → r2
  9. Shuffle(rlist) → rshlist, {1, 8, 1, 5, -3, -5}
  10. Element(rshlist, 3) → rr3
  11. Element(rshlist, 2) → rr2
  12. Element(rshlist, 1) → rr1
  13. Element(rshlist, 4) → rr4
  14. Shuffle(listf) → listfshuffle, {(((((x - 1) * (x - 8)) * (x + 8)) * (x - 1)) * (x^(2) + (5 * x) + 1)), (((x - 1) * (x - 8)) * (x^(2) + (5 * x) + 1)), (((x - 1) * (x^(2) + 1)) * ((x - 1) * (x - 5))), (5 * x) - 8, (((x - 1) * (x - 8)) * (x - 1)), ((x - 1) * (x - 5)), (((x - 1) * (x - 8)) * x^(5 + 1))}
  15. Element(listfshuffle, nN) → f0
  16. Random(0, 1) → ranneg
  17. If(ranneg ≟ 0, (-f0(x)), f0) → fpn
  18. Expand(fpn) → fexp
  19. Factor(fexp) → fsim
  20. If(qQ ≟ 1, fexp, fsim) → fdisplay
  21. Degree(fdisplay) → ansadegree
  22. If(GCD[ansadegree, 2] ≟ 2, 1, 0) → evenis1
  23. If(evenis1 ≟ 0 ∧ ranneg ≟ 1, 1, If[evenis1 ≟ 1 ∧ ranneg ≟ 1, 1, 4]) → ansc2
  24. If(evenis1 ≟ 0 ∧ ranneg ≟ 1, 3, If[evenis1 ≟ 1 ∧ ranneg ≟ 0, 3, 2]) → ansc1
  25. Element(rshlist, 5) → rr5
  26. Corner(5) → dims
  27. If(evenis1 ≟ 1, 0, 1) → ansd1
  28. If(evenis1 ≟ 1, 1, 0) → anse1
  29. Textfield(studadegree) → InputBox1
  30. Textfield(studbyint) → InputBox2
  31. Textfield(studd2) → InputBox6
  32. Textfield(stude2) → InputBox8
  33. Textfield(stude1) → InputBox7
  34. Textfield(studd1) → InputBox5
  35. AreEqual(InputBox1, ansadegree) → corra
  36. AreEqual(InputBox2, ansbyint) → corrb

AI Drawing Prompt Reference

Create an interactive worksheet for a polynomial-properties quiz. Include several visible input boxes for student answers. In the main area, display a single polynomial expression that is built from randomly chosen integer factors and sign choices: first form a candidate polynomial, then algebraically expand it, factor it into equivalent forms, and finally select one version to present as the “shown” polynomial. Show the polynomial’s degree alongside the displayed function as a reference value. Include on-screen wording/structure that asks the user to compare their typed degree (and related properties such as parity/integer-type answer) with the computed results, emphasizing the relationship between the displayed polynomial and the displayed degree and correctness checks.
The prompt above was compiled from the original drawing commands and is for reference only.