You can put this solution on YOUR website! Using the rational root test, x=1 and x=2 are zeros of the polynomial, so (x-1)(x-2) or divides the polynomial. Dividing using long division or synthetic division twice, we get , so the polynomial is equal to . The first expression has roots at 1 and 2 (we've already figured this), and the other expression factors to (x+6)(x+4) so it has roots at -6 and -4. Therefore the four roots are 1,2, -4, -6 and the factorization is
