factor this polynomial function completely

f(x)=12x^4+10x^3-214x^2+198x+90

I found all the possible rational zeros but just cant seem to factor it all

1 answer

If you found the rational zeros then it is easy to find the factors.

e.g. suppose one of the values is x = -2/3
then the corresponding facor is (3x+2)

so just use your zeros and set up the factors from those following the pattern from above.