Polynomials: Roots and Factorization

Related lectures (33)

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

Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.

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

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

Covers the construction of polynomials on a field and the concept of minimal polynomials.

Explores integration on H_pxH and arithmetic properties, including norms, structures, and polynomial factorization.

Covers the properties of fields, including irreducibility and units in polynomials.

Covers the solution of a practice exam in Algebra, focusing on finding greatest common divisors of polynomials and exploring group properties.

Explores the properties and applications of polynomials on a field, including formal derivation and uniqueness.

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

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Page 2 of 2