Question

. Rewrite each of the following polynomials, ordering the terms using the lex order, the grlex...

. Rewrite each of the following polynomials, ordering the terms using the lex order, the
grlex order, and the grevlex order, giving LM(f), LT(f), and multideg(f) in each case.
a. f(x, y,z) = 2x + 3y + z + x2 − z
2 + x3
.
b. f(x, y,z) = 2x2
y8 − 3x5
yz4 + xyz3 − xy4
.

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