I have the following question which i'm not sure how to work out...
$For\ f=6x^2y-xy^2-2y^3+1\ and\ \ h=3x-2y\ \in \mathbb{C}[x,y]$
Show that V(f,h) is empty.
What can you say about the ideal (f,h)?
I'm really not sure how I go about answering these questions.. any help would be greatly appreciated!!
Here is a hint:
Note that f can be written as f=1+(3x-2y)(2x+y)y