Polynomial Functions and Their Graphs
Degree, leading coefficient and what they determine, the family of power functions y = xn, and how the special cases fit together.
Every page in the KEVOS library tagged degree. 6 pages.
Degree, leading coefficient and what they determine, the family of power functions y = xn, and how the special cases fit together.
Monomials, binomials and trinomials, how the degree of a multi-variable term is counted, what makes two terms alike, and why standard form is worth the trouble.
Field Extensions, Minimal Polynomials and Extension Degree: core definitions, structural results and verification methods in abstract algebra.
Guide to field axioms, polynomial arithmetic, roots, degree, division with remainder, irreducibility and the algebraic setting required for complex-root theory.
Isogenies as maps of curves respecting the group law, and the two possible endomorphism rings over a field of characteristic zero.
Number fields as finite extensions of the rationals, their embeddings and signature, and the presentation on which all computation depends.