Lectures related to Factorisation: The Fundamental Theorem of Algebra

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

Covers the fundamental theorem of algebra, explaining how every polynomial has complex roots.

Explains irreducibility in polynomial equations and the properties of primitive polynomials.

Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.

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

Covers the properties of complex numbers, including finding roots and factorizing polynomials.

Explores polynomial equations in complex numbers, constructibility conditions, roots of unity, and Fermat primes.

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