Euclidean Algorithm

Related lectures (30)

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Covers the calculation of the greatest common divisor using polynomial methods and the Euclidean algorithm.

Explores ideals in K[X], including PGCD, uniqueness, coprimality, and theorems of Bézout and Gauss.

Explores polynomial roots, factorization, and the Euclidean algorithm in depth.

Covers polynomials, their operations, division theorem, and provides illustrative examples.

Explains the Euclidean division of polynomials and demonstrates its application through examples and root-based divisibility.

Explores polynomials, their operations, and the concept of ideals in polynomial rings.

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

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

Covers the theory and operations related to polynomials, including ideals, minimal polynomials, irreducibility, and factorization.

Covers the factorization of polynomials over a field, including division with remainder and common divisors.