Partial Fractions 1: Decomposing Rational Functions

This GeoGebra example demonstrates the method of partial fraction decomposition, showing how a rational function can be broken into simpler fractional components. The core mathematical concepts include rational functions, polynomial factorization, and algebraic decomposition techniques. The construction uses objects f, g, L_1, h, and p, likely representing function graphs, auxiliary lines, and a parameter, to visualize the original and decomposed expressions. It is suitable for high school or introductory college calculus students preparing for integration, as well as for teachers illustrating algebraic manipulation with dynamic geometry. The example emphasizes the connection between algebraic structure and graphical representation.