I am trying to factor a polynomial over $\mathbb{C}$ of degree 4 in 4 indeterminates, but I realized I don't know any algorithm to do so and no software to help me.
Is there an algorithm to factor this kind of polynomials? Is it possible to know at least if they are irreducible? I'd be thankful for any answer or reference you can provide and any software you can recommend.
Thanks in advance.