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Exercise 2.
Exercise 3.
We consider the following subset of
[
x
,
y
].
F
= {
p
1
,
p
2
}
where
p
1
=
xy
2
+ (
x
2
- 1)
y
-
x
.
and
p
2
=
y
2
-
xy
.
Questions
Choose an ordering for the variables
x
and
y
such the next question is easy to solve.
Compute the resultant of
p
1
and
p
2
regarded as univariate polynomials w.r.t. their main variable.
Hint.
Use the Sylvester matrix.
Compute a triangular decomposition of
V
(
F
).
Answer 3
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Quiz4
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Exercise 2.
Marc Moreno Maza
2005-02-04
[x, y].