MathPlotAI Logo MathPlotAI

Roots of a Cubic Polynomial

Roots of a Cubic Polynomial
Loading the math board and drawing, please wait…
2016-06-21 17:49
FunctionCalculusGeometric Construction
This example demonstrates the roots of a cubic polynomial. It involves the concept of polynomial functions and how to construct a cubic polynomial and its roots using GeoGebra commands. The construction summary mentions the use of Textfield, Circle, Point, Ray, Angle, Defined, etc. It is suitable for high school mathematics education or learning.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Textfield(b) → InputBox2
  3. Textfield(c) → InputBox3
  4. Text(w_1) → t1
  5. Text(w_2) → t2
  6. Text(w_3) → t3
  7. Circle(w_1, w_2, w_3) → C
  8. Circle(w_0, w_∞, w_1) → C_1
  9. Circle(w_0, w_∞, w_2) → C_2
  10. Circle(w_0, w_∞, w_3) → C_3
  11. Point(j_2) → B_2
  12. Point(j_3) → B_3
  13. Point(j_1) → B_1
  14. Ray(w_∞, B_2) → r_2
  15. Ray(w_∞, B_3) → r_3
  16. Ray(w_∞, B_1) → r_1
  17. Angle(r_3, r_2) → ζ
  18. Angle(r_2, r_1) → η
  19. Angle(r_1, r_3) → θ
  20. Point(h_1) → F_1
  21. Point(h_3) → F_3
  22. Point(h_2) → F_2
  23. Ray(w_0, F_1) → k_1
  24. Ray(w_0, F_3) → k_3
  25. Ray(w_0, F_2) → k_2
  26. Angle(k_1, k_2) → ι
  27. Angle(k_2, k_3) → κ
  28. Angle(k_3, k_1) → λ
  29. Angle(f_1, g_1) → α
  30. Angle(f_2, g_2) → β
  31. Angle(f_3, g_3) → γ
  32. Defined(Center[C]) → q
  33. Defined(Center[C_1]) → q_1
  34. Defined(Center[C_2]) → q_2
  35. Defined(Center[C_3]) → q_3