Polynomial Factorization over a Field: Eigenvalues

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

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

Introduces polynomial factorization over finite fields and efficient computation of greatest common divisors of polynomials.

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.

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

Covers polynomial factorization, irreducible polynomials, ideal decomposition, and the theorem of Bézout.

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

Explores polynomial roots, factorization, and the Euclidean algorithm in depth.

Covers polynomial factorization examples and polynomial division in complex numbers.

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