Scale Polynomial Without Changing Root

Scale Polynomial Without Changing Root
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2018-05-06 08:31
This example demonstrates how to scale a polynomial without changing its roots. Key mathematical concepts include polynomials, roots, and scaling transformations. By adjusting parameters, one can observe how the polynomial's graph changes while its roots remain unchanged. The construction summary uses GeoGebra commands n and f. Suitable for high school mathematics education and learning polynomial transformations.

GeoGebra Commands & Parameters

  1. Numeric n(0.4)
  2. f(x) = (n * (x^(4) - (3 * x^(3)) - (13 * x^(2)) + (15 * x)))