Math 2.0

Field theory and polynomials Concept

Adjoining a root of a polynomial

Summary

Let ff be an irreducible polynomial over a field KK. To adjoin a root of ff to KK, one forms the field K[x]/(f)K[x]/(f), in which the class of xx is a root of ff. The definition of this construction gives the details.

Further reading

  1. Web https://en.wikipedia.org/wiki/Splitting_field, The field Ki[X]/(f(X))
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