2.x2 + 3y? – 11 and Describe in R[r, y] the ideal I generated by the polynomials P = Q = r? – y? – - 3. Graph the corresponding algebraic variety. Show that the polynomial a2 – 4 belongs to the ideal I.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Exercice 2
1. Describe in R[x, y] the ideal I generated by the polynomials P =
Q = x? – y? – 3.
2.x2 + 3y? – 11 and
2. Graph the corresponding algebraic variety.
3. Show that the polynomial x2 – 4 belongs to the ideal I.
Transcribed Image Text:Exercice 2 1. Describe in R[x, y] the ideal I generated by the polynomials P = Q = x? – y? – 3. 2.x2 + 3y? – 11 and 2. Graph the corresponding algebraic variety. 3. Show that the polynomial x2 – 4 belongs to the ideal I.
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