Question 977496
-17, -17/4, -1/4, -1/2, -17/2, -1; 17, 17/4, 1/4, 1/2, 17/2, 1.


If you actually want to find some real roots, you will find  two of them near   negative and positive  1.5253..., which do not correspond to any of the "possible" rational roots.