how do you factor f(x)=3x^3+4x^2-35x-12 ; 3
divide the 3 root out remember that the root has the opposite sign
_3x^2 + 13x + 4______
x - 3) 3x^3 + 4x^2 - 35x - 12
3x^3 - 9x^2
13x^2 - 35x
13x^2 - 39x
4x - 12
4x - 12
0
(x - 3)(3x^2 + 13x + 4) factor 3x^2 + 13x + 4
(x - 3)(3x + 1)(x+ 4)
roots are 3, -1/3 and -4