Polynomials: Roots and Factorization

Related lectures (30)

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

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

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

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

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

Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.

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

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

Covers the fundamentals of polynomials, endomorphisms, division, roots, matrices, and algebraic homomorphisms.

Covers various methods for solving polynomial equations through examples.