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Polynomial Division Demonstration by Christine Ho

Polynomial Division Demonstration by Christine Ho
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2019-12-16 08:59
FunctionCoordinate GeometryCalculus
This example demonstrates how to divide a cubic polynomial using GeoGebra, visualizing the process and results. Key math concepts include polynomial division, remainder theorem, and geometric representation. Construction highlights involve commands like RandomElement, Textfield, Segment, Semicircle, Expand, and Simplify. Suitable for high school and above learners to understand polynomial operations and geometric intuition.

GeoGebra Commands & Parameters

  1. RandomElement({-2, -1, 0, 1, 2}) → a_1
  2. Textfield(b) → InputBox2
  3. Textfield(c) → InputBox3
  4. Textfield(d) → InputBox4
  5. Textfield(e) → InputBox5
  6. Segment(A, B) → g
  7. Semicircle(C, D) → h
  8. Textfield(j) → InputBox7
  9. Expand((b * x^(3))) → f_2
  10. Textfield(k_2) → InputBox9
  11. Expand(((k_2 * F(x)) * x^(2))) → f_3
  12. Segment(H, I) → k
  13. Expand(f_2(x) + (c * x^(2)) - f_3(x)) → f_4
  14. Textfield(k_3) → InputBox10
  15. Expand(((k_3 * x) * F(x))) → f_5
  16. Segment(J, K) → m
  17. Expand(((d - (k_3 * j)) * x)) → f_6
  18. Textfield(k_4) → InputBox11
  19. Expand((F(x) * k_4)) → f_7
  20. Segment(L, M) → n
  21. Simplify(e - (k_4 * j)) → f_8
  22. Expand(((k_1 * F(x)) * x^(3))) → f_1