Media Summary: Lecture 13: We started this lecture by proving that any two This lecture is part of an online course on Galois theory. We define the Field Theory: Let f(x) = x^4 -16x^2 +4. We find the roots of f(x), calculate the
Splitting Fields Are Unique Up - Detailed Analysis & Overview
Lecture 13: We started this lecture by proving that any two This lecture is part of an online course on Galois theory. We define the Field Theory: Let f(x) = x^4 -16x^2 +4. We find the roots of f(x), calculate the We continue to work through Section 13.1 in Dummit and Foote. Take any irreducible polynomial. Remarkably, every one of its roots repeats exactly the same number of times — no root is special ...
