Complex Numbers: Roots and Polynomials

This lecture covers the concept of roots of complex numbers and polynomials, discussing the fundamental theorem of algebra, roots of unity, and factorization of polynomials with real coefficients. The instructor explains how to find roots, the properties of complex roots, and the factorization of polynomials. The lecture also includes discussions on multiple roots, conjugate roots, and the irreducibility of polynomials with real coefficients.