Examples: Polynomial Factorization

Related lectures (29)

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

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

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

Covers operations on complex numbers, polar coordinates, and polynomial solutions.

Demonstrates completing the square in quadratic polynomials for factorization simplification.

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

Explores complex polynomial factorization examples, demonstrating the process and implications of complex roots in real polynomials.

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

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

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