# (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.