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Cubic Polynomial Factorization

Cubic Polynomial Factorization
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2019-08-31 23:09
FunctionCalculusDerivative
This example demonstrates the factorization process of cubic polynomials with visualization. It involves core math concepts like polynomial operations, derivatives, plane figures, and solid geometry. Constructed using GeoGebra commands RandomElement, Random, Expand, Factor, Textfield, Div to generate random polynomials and show their factorization. Suitable for high school and above students to understand polynomial properties and calculus applications.

GeoGebra Commands & Parameters

  1. RandomElement({-3, -2, -1, 1, 2, 3}) → A_{1}
  2. Random(-5, 5) → B_{1}
  3. Random(-5, 5) → B_{2}
  4. RandomElement({-3, -2, -1, 1, 2, 3}) → A_{2}
  5. Random(-5, 5) → B_{3}
  6. RandomElement({-3, -2, -1, 1, 2, 3}) → A_{3}
  7. Expand(((f_{1}(x) * f_{2}(x)) * f_{3}(x))) → f
  8. Factor(f) → g
  9. Textfield(h) → InputBox1
  10. Div(f, h) → g_{1}