Division Euclidienne: ExemplesExplains the Euclidean division of polynomials and demonstrates its application through examples and root-based divisibility.
Analyse 2: Division euclidienneExplores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.
Developing Cosine CompositionExplores the composition of Taylor expansions through an example, simplifying complex compositions to identify essential terms.
Interlacing PolynomialsExplores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.
Taylor Series: BasicsCovers Taylor series, polynomial approximations for function behavior, coefficient finding, and error estimation.
Complex Roots and PolynomialsExplores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
Euclidean AlgorithmExplains the Euclidean algorithm for polynomials over a field K, illustrating its application with examples.
