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Finding Coefficients in Equivalent Polynomials

Finding Coefficients in Equivalent Polynomials
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2020-03-17 15:59
FunctionCoordinate GeometryGeometric Construction
This example demonstrates dynamically finding coefficients in equivalent polynomials using GeoGebra. It involves core math concepts like polynomial functions, quadratic functions, and coordinate geometry. Key GeoGebra commands and objects used include RandomElement, Random, Expand, and Textfield. Suitable for high school mathematics teaching, focusing on polynomial identity transformation and coefficient solving.

GeoGebra Commands & Parameters

  1. RandomElement({-3, -2, -1, 1, 2, 3}) → a
  2. RandomElement({-3, -2, -1, 1, 2, 3}) → b
  3. Random(-5, 5) → A
  4. Random(-5, 5) → B
  5. Random(-5, 5) → C
  6. Random(1, 4) → Qn
  7. Expand(Simplify[list1(Qn, x)]) → f
  8. Textfield(k) → InputBox1
  9. Textfield(A_{in}) → InputBox2
  10. Textfield(B_{in}) → InputBox3
  11. Textfield(C_{in}) → InputBox4