Polynomials: Roots and Factorization

Related lectures (30)

Page 2 of 3

Explores complex number properties, roots, and polynomial equations in the complex plane.

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

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

Explores the properties and applications of finite fields, including isomorphism and cyclic properties.

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

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

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

Covers various methods for solving polynomial equations through examples.