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Lecture
Complex Polynomials and Factorization
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Related lectures (36)
Complex Numbers: Operations and Applications
Explores complex number properties, roots, and polynomial equations in the complex plane.
Complex Roots: Conjugate Pairs and Quadratic Equations
Explores complex roots, conjugate pairs, and quadratic equations solving strategies.
Factorisation: Polynomials and Theorem
Covers irreducible polynomials, fundamental theorem of algebra, and factorization in complex and real polynomials.
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.
The Fundamental Theorem of Algebra
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Covers the fundamental theorem of algebra, explaining how every polynomial has complex roots.
Complex Numbers: Roots and Polynomials
Covers the properties of complex numbers, including finding roots and factorizing polynomials.
Polynomials with Real Coefficients
Explores polynomials with real coefficients, complex roots, and sequences' properties.
Complex Factorization Examples
Explores complex polynomial factorization examples, demonstrating the process and implications of complex roots in real polynomials.
Factorisation: The Fundamental Theorem of Algebra
Covers the Fundamental Theorem of Algebra, polynomial division, and complete factorization of complex polynomials.
Stein Algorithm: Polynomial Identity Testing
Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.
Integration: Simple Elements
MOOC: Analysis I
MOOC: Analysis I (part 7) : Indefinite and definite integrals, integration (selected chapters)
Covers the integration of simple elements using various techniques to solve integration problems.
Untitled
Division Euclidienne: Exemples
Explains the Euclidean division of polynomials and demonstrates its application through examples and root-based divisibility.
Finite Fields: Properties and Applications
Explores the properties and applications of finite fields, including isomorphism and cyclic properties.
Complex Plane and Polynomials
Covers the complex plane, operations, transformations, and complex polynomials.
Correlations of the Liouville function
Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.
Reed Solomon Codes: Basics and Applications
Introduces Reed Solomon Codes, their applications, polynomial definitions, interpolation, roots, and the Fundamental Theorem of Algebra.
Algebraic Expressions
Covers algebraic expressions, operations, factorization, and equation solving.
Complex Roots and Polynomials
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Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
Linear Algebra: Abstract Concepts
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Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.
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