Lectures related to Complex Roots: Conjugate Pairs and Quadratic Equations

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Covers integration techniques for rational functions, including decomposition and factorization.

Covers the concept of real functions, focusing on continuity and the behavior of polynomials and ratios of polynomials.

Covers second degree trinomials, discriminants, Viète's formulas, and root calculations.

Introduces the argument of complex numbers and the polar method, demonstrating their application in finding roots.

Explores complex polynomial factorization examples, demonstrating the process and implications of complex roots in real polynomials.

Covers the Gauss-Wantzel Theorem and Fermat prime numbers.