Factor of 2x4+22x3+60x

Remark

I don't know exactly what level you are in, but the obvious factors are

y = 2x * (x^3 + 11x + 30)

This gives one more factor somewhere around x = - 11.3. Notice that the minimum is around - 3000 or so. I don't think anyone is going to try and take this any further. My calculator figures out cubics and gives an answer of - 11.23. There are two other roots but they are a complex pair.

Answer

factor 1: 2x

factor 2: x^3 + 11x^2 + 30