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Polynomial Division Demonstration

Polynomial Division Demonstration
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2020-07-28 04:53
FunctionCoordinate GeometryGeometric Construction
This example demonstrates polynomial division, showing the quotient and remainder. By inputting polynomial coefficients, the division process can be dynamically generated. The construction summary mentions the use of GeoGebra objects such as TextField, Segment, Point, and Vector. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Textfield(n) → InputBox1
  2. Textfield(b) → InputBox2
  3. Textfield(a) → InputBox3
  4. Textfield(c) → InputBox4
  5. Textfield(d) → InputBox5
  6. Segment(A, B) → e
  7. Segment(C, D) → f
  8. Textfield(a) → InputBox3_1
  9. Textfield(a) → InputBox3_2
  10. Textfield(d) → InputBox5_1
  11. Textfield(b) → InputBox2_1
  12. Textfield(a) → InputBox3_3
  13. Textfield(c) → InputBox4_1
  14. Textfield(d) → InputBox5_2
  15. Textfield(a) → InputBox3_4
  16. Textfield(a) → InputBox3_5
  17. Textfield(d) → InputBox5_3
  18. Segment(I, J) → g
  19. Segment(K, L) → h
  20. Segment(I_1, J_1) → g_1
  21. Segment(K_1, L_1) → h_1
  22. Segment(I_3, J_2) → g_2
  23. Point(g_1) → M
  24. Point(g_2) → N
  25. Segment(M, N) → j
  26. Vector(O, P) → u
  27. Vector(Q, R) → v
  28. Vector(S, T) → w
  29. Vector(U, V) → k
  30. Vector(W, Z) → l
  31. Point(g_1) → E_1
  32. Point(g) → F_1
  33. Segment(E_1, F_1) → m

AI Drawing Prompt Reference

Draw a polynomial division demonstration, input polynomial coefficients to dynamically generate the division process and show the quotient and remainder. First, input the polynomial coefficients to create Input Boxes 1 to 5. Then, draw segments e and f, input coefficients and create Input Boxes 3, 4, and 5. Draw segments g and h, then draw segments g1 and h1, find points M and N, and connect M and N. Draw vectors u, v, w, k, and l, find points E1 and F1, and connect E1 and F1.
The prompt above was compiled from the original drawing commands and is for reference only.