(Go) reducible polynomials over some field

When I want to factor a polynomial, say $ p (x) $ finished $ mathbb {Q}[sqrt{2}]$,
I can do

Factor[p(x), Extension -> {Sqrt[2]}]

What happens if I want to factor a polynomial with more than one variable $ p (x, y, z) $ over a specific field, let's say $ mathbb {F} _2[x,y,z]$?
where $ mathbb {F} _2 $ It is the field with 2 elements.