Minimal Polynomials: Uniqueness and Division

Related lectures (30)

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Explains how to find solutions for polynomial equations and perform polynomial division.

Covers polynomial roots, factorization, and unique representation through examples of polynomial division with remainders.

Explores Euclidean division for polynomials, emphasizing uniqueness of quotient and remainder.

Explores Viète's identities, relating polynomial roots and coefficients to solve equations.

Explores linear recurrence relations, including examples like the Fibonacci numbers and the proof of related theorems.

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

Covers polynomial division, terms, factors, and integration methods.

Explores minimal annihilating polynomials and cyclic invariant subspaces, showcasing their practical applications through matrix computations.

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

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