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Visualizing Complex Roots of Polynomials

Visualizing Complex Roots of Polynomials
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2019-10-30 18:37
FunctionComplex NumberGeometric Construction
This example visualizes the complex roots of polynomials. Key mathematical concepts include complex numbers and polynomials. Using GeoGebra commands such as If, Sequence, and Textfield, the complex roots of polynomials are constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. If(a ≠ 0, myFA, If[b ≠ 0, myFB, If[c ≠ 0, myFC, If[d ≠ 0, myFD, If[e ≠ 0, myFE, If[e ≠ 0, myFE, myFG]]]]]) → fx
  2. Sequence(x = x(Element[myTPsA, k]), k, 1, Length[myTPsA]) → vTPLinesA
  3. Sequence(x = x(Element[myTPsA, k]), k, 1, Length[myTPsA]) → Lines2
  4. Textfield(a) → inputBox1
  5. Textfield(b) → inputBox2
  6. Textfield(c) → inputBox3
  7. Textfield(d) → inputBox4
  8. Textfield(e) → inputBox5
  9. Textfield(g) → inputBox6