Question 1004987
Yes, but you are not clear about doing anything with that information.  Factorize or just decide on those basic facts?  You could try synthetic division to test those possible roots.  Try the easy ones first.



Check the discriminant, although your exercise might expect you to check roots using synthetic division...
The discriminant is  {{{16=4^2}}}, so you should expect two RATIONAL roots.



-
{{{x=(-2+- 4)/6}}}



Roots are therefore   -1 and +1/3.