Hi everyone. First time here and I was wondering if someone could assist me with this math problem that I'm having trouble with.

The problem reads:

find all complex zeros of the polynomial function, give exact values, list multiple zeros as necessary

f(x)= x^4+10x^3-31x^2+80x-312

I know I'm supposed to do something with rational zero principle or maybe synthetic division but I wasn't sure.

Any help would be appreciated thanks (Happy)