Galois Group of Cubic Polynomial which is Symmetric

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In this video, we compute the Galois group of a cubic polynomial whose Galois group is isomorphic to the symmetric group S_3. Notions of discriminant of briefly mentioned.

This is lecture 35 (part 1/3) of the lecture series offered by Dr. Andrew Misseldine for the course Math 4230 - Abstract Algebra II at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at:

Andrew Misseldine

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This video is so inspiring! But I have one question about why the /sqrt{-47} just popped out from nowhere. Did I miss some theory taught in this series of courses?

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