Gauss’ Lemma

In the online lecture notes on page 10, number 25 [now Lecture 4, Example 29] uses Gauss’ Lemma for a polynomial of degree 4, however the corallary of Gauss’s Lemma states that the polynomial must be of degree 2 or 3. Would you please explain why we were able to use it in this case.

Reply:

Thanks very much for your question. I see now that the notes were rather misleading in that regard. I’ve rewritten Lecture 1 now with your question in mind. In particular, look at the `refined’ Gauss’ Lemma and its corollaries.

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