Okay.
So, the factors of the constant term will be:
1, 6 , 4 , 2 , 12 , 24 , 3 , 8
and of the leading co-efficient:
1, 7
So the factors will 'have' to be these, if there are any rational roots:
+/- 1, 6 , 4 , 2 , 12 , 24 , 3 , 8
......._____________________
1, 7
So...