Show that the polynomial \(x^2+y^2-1\) is irreducible in \(\mathbb {Q}[x,y]\). Is it irreducible in \(\mathbb {C}[x,y]\)?
Question
Math 6310 • Algebra
Spring 2011 • Question 11
Question
Spring 2011 • Question 11
Show that the polynomial \(x^2+y^2-1\) is irreducible in \(\mathbb {Q}[x,y]\). Is it irreducible in \(\mathbb {C}[x,y]\)?