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Practice and Applications

5. 4
7. $- 80$
9. Yes
11. No
13. $x^{2} + 5 x + 10, R = 11$
15. $2 x^{2} - 7 x + 10, R = - 17$
17. $x^{3} - 3 x^{2} - 2 x + 10, R = - 4$
19. $2 m^{4} + 10 m^{3} + 2 m^{2} + 11 m + 55, R = 266$
21. Yes
23. No, Yes
25. (unlisted roots) $- 2, 1$
27. (unlisted roots) 3, 4
29. (unlisted roots) $- 1 + j \sqrt{2}, - 1 - j \sqrt{2}$
31. (unlisted roots) $- j, - \frac{3}{2}, \frac{1}{2}$
33. (unlisted roots) $- 2$ , 2
35. (unlisted roots) $- 2 - j, \frac{1}{2} (- 1 \pm j \sqrt{3})$
37. $- 4, 1, 2$
39. $- \frac{1}{2}, 1, 1$
41. $- 1, - \frac{1}{2}, \frac{5}{3}$
43. $\frac{1}{2}, \frac{3}{2}, - 1 + \sqrt{2}, - 1 - \sqrt{2}$
45. $f (x) = (x + 2) (x + 1) (x - 4) (3 x - 4)$
47. 1, 3, 5
49. 2 or 4
51. Use k in synthetic division, $k = 4 .$
53. $x^{3} - 5 x^{2} + x - 5$
55. $x = - 1, y = - 2; x = 2, y = 1$
57. 11.7 ft
59. April
61. 0.75 cm
63. 2 in.
65. 5.1 m, ...

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