remaindr theorem to find the remainder when f(x) is divided by x-2 then use factor theorem to determine whether x-2 is a factor of f(x), f(x)=3x^5+9x^4-12x^3+2x-8 Solution Using synthetic division 2) 3 9 -12 0 2 -8 ____6__30 36 72 148 __3 15_18 36 74 140 So the remainder is 140 so (x-2) is not a factor of 3x^5+9x^4-12x^3+2x-8.