Hello.

I am reading Fulton's book "Algebraic Curves" and I'd like to see how are solved exercises 2.34 and 2.35. They say:

1) Factor into linear factors in (where C denotes complex numbers).

Just above it is stated that: "Up to powers of , factoring a form is the same as

factoring In particular, if is a form, k algebraically closed, then F factors into a product of linear factors."

It must be helpful... but I don't know how to use it. And also, "linear factors" in are of the form ?

Thank you for your help.