Partial Fraction Decomposition Interactive Demo

This GeoGebra example dynamically demonstrates the partial fraction decomposition of rational functions, breaking a complex fraction into a sum of simpler fractions step by step. Core mathematical concepts include polynomial factorization, partial fraction decomposition principles, matching coefficients with denominator factors, and verifying algebraic identities. Construction highlights: RandomElement generates random rational functions, Denominator extracts the denominator, Factor factors it, and PartialFractions computes the decomposition directly. Multiple text objects (text1 to text12) and buttons (button1 to button4) provide interactive step-by-step presentation and answer checking. Suitable for high school to pre-calculus students learning algebraic fraction operations, and useful for teachers demonstrating the reasoning process in class.