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Solving for Zeros of Polynomial Functions

Solving for Zeros of Polynomial Functions
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2016-06-16 03:47
FunctionCalculusIntegral
This example demonstrates how to solve for the zeros of polynomial functions using GeoGebra. Key mathematical concepts include polynomial functions, arithmetic mean, median line, tangent line, and indefinite integral. Commands such as Random, Expand, and RandomElement are used to dynamically generate polynomial functions and solve for their zeros. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Random(-4, 4) → a
  2. Random(-4, 4) → c
  3. Random(-4, 4) → d
  4. Random(-4, 4) → b
  5. Expand(((((x - a) * (x - b)) * (x - c)) * (x - d))) → f4
  6. Expand(((((x - a) * (x - b)) * (x - c)) * (x^(2) + abs(d)))) → fi5
  7. Expand((((x - a) * (x - b)) * (x^(2) + abs(c)))) → fi4
  8. Random(-4, 4) → e
  9. Expand((((((x - a) * (x - b)) * (x - c)) * (x - d)) * (x - e))) → f5
  10. Random(-4, 4) → f
  11. Expand(((((((x - a) * (x - b)) * (x - c)) * (x - d)) * (x - e)) * (x - f))) → f6
  12. RandomElement({-3, -2, -1, 1, 2, 3}) → c1
  13. Random(1, 4) → c2
  14. RandomElement({f4, f5, f6, fc4, fc5, fi4, fi5}) → g