Polynomials: Roots and Factorization

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Berlekamp's Algorithm: Polynomial Factorization

Explores Berlekamp's algorithm for efficient polynomial factorization.

Complex Numbers: Operations and Applications

Explores complex number properties, roots, and polynomial equations in the complex plane.

Polynomial Roots: Finding Solutions and Division

Explains how to find solutions for polynomial equations and perform polynomial division.

Decomposition of Linear Operators

Covers the decomposition of linear operators and properties of eigenspaces.

Polynomial Division & Observer/Controller Approach

Covers polynomial division and observer/controller approach with step-by-step examples.

Factoring Polynomials: Complexity and Algorithms

Delves into the complexity of factoring polynomials and the implications for security.

Complex Factorization Examples

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

Euclidean Division and Simple Elements

Explains polynomial division, factor decomposition, and rational function simplification.

Principle of Superposition in Differential Equations

Explores the principle of superposition in differential equations and the fundamental theorem of algebra.

Factorisation: Real Coefficients Examples

Covers the factorization of polynomials with real coefficients in the complex domain, demonstrating how to find complex roots and obtain irreducible factors.