Polynomial remainder theorem

Related lectures (25)

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Covers the theory and operations related to polynomials, including ideals, minimal polynomials, irreducibility, and factorization.

Explores polynomial factorization over a field, emphasizing eigenvalues and irreducible components.

Covers polynomial division and observer/controller approach with step-by-step examples.

Explains the conversion between decimal and fractional writing, including division with remainder and a trick for periodic numbers.

Introduces integer numbers, well-ordering, induction principles, GCD, LCM, and Bezout's theorem.

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

Covers elliptic problems related to a model and deformation, discussing concepts such as the model problem and deformation energy.

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

Explores well ordering, induction, Euclidean division, and prime factorization in integers.

Explains the Euclidean division of polynomials and demonstrates its application through examples and root-based divisibility.