Exercises 15.2, page 430

(Note: Unknown roots listed)

1. $- 1, - 1, 1, 1, 1$ $- 1, - 1, 1, 1, 1$
3. $- 3, - 2, 2$ $- 3, - 2, 2$
5. $5, 3 j, - 3 j$ $5, 3 j, - 3 j$
7. $- 1, 4$ $- 1, 4$
9. $- 2, - 2$ $- 2, - 2$
11. $- j, \frac{2}{5}$ $- j, \frac{2}{5}$
13. $3, 2 - j$ $3, 2 - j$
15. $- 1, \frac{1}{2}$ $- 1, \frac{1}{2}$
17. $- 2, 1$ $- 2, 1$
19. $1 - j, - 2, \frac{1}{2}$ $1 - j, - 2, \frac{1}{2}$
21. $j, - j$ $j, - j$
23. $- j, - 1, 1$ $- j, - 1, 1$
25. $- 2 j, - 3, 3$ $- 2 j, - 3, 3$
27. If j is a root, $- j$ $- j$ must also be a root, and $- j$ $- j$ is not one of the roots.
29. $- 7$ $- 7$
31. $- 1, \frac{1}{2} (1 \pm \sqrt{13})$ $- 1, \frac{1}{2} (1 \pm \sqrt{13})$

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Table of Contents for Exercises 15.2, page 430