Fundamental theorem of algebra

The Fundamental Theorem of Algebra states that every non-constant polynomial equation with complex coefficients has as many roots (solutions) as its degree. For example, a quadratic (degree 2) equation has two roots, while a cubic (degree 3) has three roots. These roots can be real or complex numbers. This theorem assures us that we can always find solutions for polynomial equations, providing a foundation for much of mathematics in fields such as engineering, physics, and economics. It highlights the completeness of the complex number system in solving polynomial equations.