** 1.** When we change from lex order to graded lex order,
the leading form of the polynomial x - y^{3}
*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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