Visualizing Complex Roots: Displaying Polynomial Roots on the Complex Plane

① This GeoGebra example visualizes the complex roots of a polynomial equation on the complex plane, making the abstract concept of non-real solutions tangible. ② Core mathematical concepts include complex numbers, the complex plane, roots of polynomial equations (both real and imaginary), and the use of mirror symmetry in geometric representation. ③ Construction highlights: The example employs the Mirror command to create symmetric points of roots, the Text command to label key objects (such as h, k, a, c, c'), and auxiliary objects like y3 and y4 to display coordinates or function relationships, resulting in a clear visual layout. ④ Suitable for high school to undergraduate mathematics education, particularly in algebra, introductory complex analysis, or courses bridging geometry and algebra, and also useful for independent student exploration of root properties.