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Multiplicity of Polynomial Equations

Multiplicity of Polynomial Equations
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2019-11-04 22:32
FunctionCalculusGraphing
This example demonstrates how the multiplicity of roots affects the graph of polynomial functions. Key math concepts include polynomial functions, root multiplicity, and graph transformations. It is constructed using GeoGebra objects like sliders (a, b, c), function P, text annotations, and points A, B, C. Suitable for high school mathematics education to understand the local behavior of polynomial graphs based on root multiplicity.

GeoGebra Commands & Parameters

  1. Numeric a(1.0)
  2. Numeric b(1.0)
  3. Numeric c(1.0)
  4. P(x) = (((x + 2)^(a) * (x - 1)^(b)) * (x - 3)^(c))
  5. Point A(-2.0, 0.0)
  6. Point B(1.0, 0.0)
  7. Point C(3.0, 0.0)