Too many exercises; just doing some of #3.
Choices to check as roots are -1, -5, 1, 5.
-1 | 1 -5 -1 5
| -1 6 -5
|------------------------------
1 -6 5 0
-1 found to be a root.
That quadratic factor is factorable into .
The roots are -1, 1, and 5.
Degree is odd (three) and lead coefficient is positive, telling you something about shape - decreases without end to the left; increases to the right without end,...