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
Thanks for your help Mr. Fantastic (haha ) but perhaps you could shed some light on your response. I think I somewhat understand where you are going with this, but I am not familiar with this method of solution. Should I be looking at the factors in front of the parenthesis (x^2 and 8) in order to form a solution?