Hints for exercise 1 of Sec 2.3

 1.  When we change from lex order to graded lex order, the leading form of the polynomial  x - y3   also changes.

 2.  You're supposed to do 4 divisions. One of them is "somewhat gruesome"; the others seem to be quite reasonable.
In part a., you'll probably want to do the division relative to the graded lex order first ...

Comments and questions to:  roberts@math.umn.edu

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