Lecture

Factorisation: The Fundamental Theorem of Algebra

Description

This lecture discusses the Fundamental Theorem of Algebra, stating that any polynomial equation in C has at least one solution. It explores the division of polynomials by factors, such as X - i, and demonstrates examples of complete factorization of complex coefficient polynomials. The lecture concludes by showing how complex coefficient polynomials can be factored into products of degree 1 factors, similar to prime factorization of integers.

Official source

https://mediaspace.epfl.ch/media/0_daxxmdxa

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Ontological neighbourhood

Mathematics

Algebra: Polynomials

Analysis: Numerical analysis

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