Theorems about polynomials

Theorems about polynomials encompass a wide range of topics in algebra, analysis, and number theory. Here are some important theorems and concepts related to polynomials: 1. **Fundamental Theorem of Algebra**: This theorem states that every non-constant polynomial with complex coefficients has at least one complex root. In other words, a polynomial of degree \( n \) has exactly \( n \) roots (considering multiplicities) in the complex number system.