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Polynomials, Division, and Ideals
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Related lectures (32)
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Analyse 2: Division euclidienne
Explores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.
Polynomials: Operations and Properties
Explores polynomial operations, properties, and subspaces in vector spaces.
Linear Combinations and Vector Spaces
Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.
Polynomials on a Field: Basics and Operations
Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.
Linear Algebra: Abstract Concepts
Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.
Vector Spaces: Properties and Operations
Covers the properties and operations of vector spaces, including addition and scalar multiplication.
Ring Operations: Ideals and Classes
Covers the operations in rings, ideals, classes, and quotient rings.
Polynomials: Definitions and Operations
Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.
Polynomials: Rings and Operations
Covers the basics of polynomials, focusing on rings, operations, and properties.
Polynomials on a Field: Properties and Applications
Explores the properties and applications of polynomials on a field, including formal derivation and uniqueness.