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The Congruence That Crushes Higher Degrees | Abstract Algebra | Polynomial Mods | Poly Rings | DgMt
https://dogmathic.com/ This video shows what the representatives of a quotient ring look like in a concrete example: F5[x]/(x^2 + 3x + 4). We start by comparing this to the idea of integers mod 5: every integer collapses to a representative in {0,1,2,3,4}. In the same way, every polynomial in F5[x] collapses to a small, predictable set of ...
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