Building Skills

9. $x = \pm 5 i$ $x = \pm 5 i$
11. $x = - 2 \pm 3 i$ $x = - 2 \pm 3 i$
13. ${2, 3 i, - 3 i}$ ${2, 3 i, - 3 i}$
15. $3 - i$ $3 - i$
17. $- 5 - i$ $- 5 - i$
19. $- i, - 3 i$ $- i, - 3 i$
21. $P (x) = 2 x^{4} - 20 x^{3} + 70 x^{2} - 180 x + 468$ $P (x) = 2 x^{4} - 20 x^{3} + 70 x^{2} - 180 x + 468$
23. $P (x) = 7 x^{5} - 119 x^{4} + 777 x^{3} - 2415 x^{2} + 3500 x - 1750$ $P (x) = 7 x^{5} - 119 x^{4} + 777 x^{3} - 2415 x^{2} + 3500 x - 1750$
25. $P (x) = x (x + 1) (x^{2} + 9)$ $P (x) = x (x + 1) (x^{2} + 9)$
27. $P (x) = x (x - 1) (x + 2) (x^{2} - 6 x + 10)$ $P (x) = x (x - 1) (x + 2) (x^{2} - 6 x + 10)$
29. $1, 4 + i, 4 - i$ $1, 4 + i, 4 - i$
31. $- \frac{4}{3}, 1 + 3 i, 1 - 3 i$ $- \frac{4}{3}, 1 + 3 i, 1 - 3 i$
33. 1 (with multiplicity 2), $\frac{3}{2} + \frac{3}{2} i, \frac{3}{2} - \frac{3}{2} i$ $\frac{3}{2} + \frac{3}{2} i, \frac{3}{2} - \frac{3}{2} i$
35. $- 3, 1, 3 + i, 3 - i$ $- 3, 1, 3 + i, 3 - i$
37. $\frac{1}{2}, 2, 3, i, - i$ $\frac{1}{2}, 2, 3, i, - i$
39. $f (x) = \frac{1}{3} (x^{2} + 9)$ $f (x) = \frac{1}{3} (x^{2} + 9)$
41. $f (x) = \frac{1}{2} (2 - x) (x^{2} + 1) (x^{2} + 4)$ $f (x) = \frac{1}{2} (2 - x) (x^{2} + 1) (x^{2} + 4)$

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Table of Contents for Building Skills