Visualization of Complex Roots of a Cubic Equation

This GeoGebra example provides a three-dimensional visualization of the complex roots of a cubic equation, demonstrating how real and complex roots can be represented geometrically. It illustrates the relationship between polynomial coefficients and root locations, emphasizing conjugate pairs and the fundamental theorem of algebra. Core concepts include complex numbers, polynomial functions, root finding, and 3D vector representation. The construction uses GeoGebra commands such as Root and ComplexRoot to compute roots, Mirror to generate conjugate roots, Intersect and Circle to create auxiliary geometric elements, and Vectors 3D and Polygons to build the spatial framework. Suitable for high school and university students studying complex analysis or algebra, as well as for educators seeking interactive demonstrations of cubic root behavior.