Polynomial Factorization: Field Approach

Related lectures (29)

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Introduces greatest common divisor, prime factorization, and the Euclidean Algorithm.

Explores Berlekamp's algorithm for efficient polynomial factorization.

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

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

Explores the properties of Euclidean domains, including gcd, lcm, and the Chinese remainder theorem for polynomial rings.

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

Explores division polynomials, theorems, spectral values, and minimal polynomials in endomorphisms and vector spaces.

Covers the factorization of polynomials with complex coefficients and diagonalizability of matrices.

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