Lecture

Euclidean Algorithm

Description

This lecture covers the Euclidean algorithm for polynomials over a field K. It explains how to compute the greatest common divisor (GCD) of two polynomials using the division with remainder method. The algorithm involves iteratively finding remainders until reaching a zero remainder, determining the GCD. Examples are provided to illustrate the algorithm's application, including the use of Bézout's identity and Gauss's lemma.

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