https://en.wikipedia.org/wiki/Category_theory https://en.wikipedia.org/wiki/Category_theory The fundamental theorem of algebra is a fact about the diagram whic

https://en.wikipedia.org/wiki/Category_theory https://en.wikipedia.org/wiki/Category_theory The fundamental theorem of algebra is a fact about the diagram which relates polynomials via division by monomials. Every polynomial of degree n is n divisions of a monomial away from the empty product. - - - - This is probably easier to see the other direction: Polynomials of degree n are isomorphic to n-products of monomials, and you can build a graph of the assembly where each arrow represents a multiplication by a particular monomial. (Then reverse the arrows, to get my original diagram.)