Partial Fractions - 3 Distinct Linear Factors
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This example demonstrates how to decompose a rational function with three distinct linear factors into partial fractions using GeoGebra. Key math concepts include partial fraction decomposition, polynomial operations, and solving systems of linear equations. GeoGebra commands used are RandomElement, Remove, RandomPolynomial, PartialFractions, and Simplify, along with objects like buttons, lists, variables, and text elements. It is suitable for high school students learning about the application and techniques of partial fraction decomposition.
GeoGebra Commands & Parameters
RandomElement(list1) → x1Remove(list1, {x1}) → list2RandomElement(list2) → x2Remove(list2, {x2}) → list3RandomElement(list3) → x3RandomPolynomial(2 + (0 * dummy), -5, 5) → numPartialFractions(num(x) / denom(x)) → pfSimplify(Simplify[num(x1)] / Simplify[(d2(x1) * d3(x1))]) → ASimplify(Simplify[num(x2)] / Simplify[(d1(x2) * d3(x2))]) → BSimplify(Simplify[num(x3)] / Simplify[(d1(x3) * d2(x3))]) → C