Graphical Polynomial Arithmetic: Visualizing Sum, Difference, Product, and Quoti

① This GeoGebra example demonstrates polynomial arithmetic (addition, subtraction, multiplication, and division) in a graphical way, allowing learners to see how algebraic operations correspond to geometric representations on the coordinate plane. ② Core mathematical concepts include polynomial functions, arithmetic operations on expressions, function graphs, and the relationship between algebraic formulas and geometric objects. ③ Construction details: The summary lists the Segment command and objects such as g_1, f_1, a, Sum, Difference, Product, Quotient, A, f, g, g_2, f_2, b, c, d, e, which likely represent polynomial functions and their operation results, built using segments and points to create visual diagrams. ④ Suitable for high school to pre-university students, this example supports interdisciplinary learning of algebra and geometry, and serves as an effective classroom demonstration tool for teachers to illustrate polynomial operation rules intuitively.