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Explore the division algorithm for polynomials over a field in this 21-minute video lecture on abstract algebra. Learn the statement and proof of this fundamental theorem, which extends the familiar division algorithm for integers to polynomial rings. Gain insights into the algebraic structures underlying polynomial division and its applications in abstract algebra. Enhance your understanding of polynomial arithmetic and its role in more advanced algebraic concepts.
Syllabus
Abstract Algebra | The division algorithm for polynomials.
Taught by
Michael Penn