Polynomial Factorization over Finite Fields

Related lectures (29)

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Covers polynomial factorization, irreducible polynomials, ideal decomposition, and the theorem of Bézout.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Covers GCD, LCM, and the Euclidean algorithm for efficient computation.

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

Explores Euclidean division for polynomials, emphasizing uniqueness of quotient and remainder.

Explores the Chinese remainder theorem, systems of congruences, and Euclidean domains in integer numbers and polynomial rings.

Explores the Euclidean algorithm, Bézout's identity, extended Euclid algorithm, and commutative groups in mathematics.

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

Covers polynomial rings, irreducibility criteria, and algebraic structures in fields.