Factorization of polynomials

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Algebra
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Related lectures (29)

Integration of Rational Functions

Covers the integration of rational functions, focusing on decomposing functions into simpler elements.

Polynomes: Irreducible Polynomials and Gaussian Lemma

Introduces irreducible polynomials and the Gaussian lemma for polynomial factorization.

Complex Eigenvalues Appendix

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

Division Polynomials: Theorems and Applications

Explores division polynomials, theorems, spectral values, and minimal polynomials in endomorphisms and vector spaces.

Complex Polynomials and Factorization

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

Integration: Simple Elements

Covers the integration of simple elements using various techniques to solve integration problems.

Polynomial Root Finding

Explores polynomial root finding methods based on evaluating potential roots from divisors of the constant term.

Factorisation: Real Coefficients Examples

Covers the factorization of polynomials with real coefficients in the complex domain, demonstrating how to find complex roots and obtain irreducible factors.

Completing the Square in Quadratic Polynomials

Demonstrates completing the square in quadratic polynomials for factorization simplification.

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