Building Skills

9. Quotient: $3 x - 2;$ $3 x - 2;$ remainder: 0
11. Quotient: $3 x^{3} - 3 x^{2} - 3 x + 6;$ $3 x^{3} - 3 x^{2} - 3 x + 6;$ remainder: $- 13$ $- 13$
13. Quotient: $2 x - 1;$ $2 x - 1;$ remainder: 0
15. Quotient: $z^{2} + 2 z + 1;$ $z^{2} + 2 z + 1;$ remainder: 0
17. Quotient: $x^{2} - 7;$ $x^{2} - 7;$ remainder: $- 5$ $- 5$
19. Quotient: $x^{2} + 2 x - 11;$ $x^{2} + 2 x - 11;$ remainder: 12
21. Quotient: $x^{3} - x^{2} + 4;$ $x^{3} - x^{2} + 4;$ remainder: 13
23. Quotient: $2 x^{2} + 5 x - \frac{1}{2};$ $2 x^{2} + 5 x - \frac{1}{2};$ remainder: $\frac{3}{4}$ $\frac{3}{4}$
25. Quotient: $2 x^{2} - 6 x + 6;$ $2 x^{2} - 6 x + 6;$ remainder: $- 1$ $- 1$
27. Quotient: $x^{4} + 2 x^{3} - 5 x^{2} - 3 x - 2;$ $x^{4} + 2 x^{3} - 5 x^{2} - 3 x - 2;$ remainder: $- 3$ $- 3$
29. Quotient: $x^{4} - x^{3} + x^{2} - x + 1;$ $x^{4} - x^{3} + x^{2} - x + 1;$ remainder: 0
31. Quotient: $x^{5} - x^{4} + 3 x^{3} - 4 x^{2} + 4 x - 4;$ $x^{5} - x^{4} + 3 x^{3} - 4 x^{2} + 4 x - 4;$ remainder: 9
33.
1. 5
2. 3
3. $\frac{15}{8}$ $\frac{15}{8}$
4. 1301
35.
1. $- 17$ $- 17$
2. $- 27$ $- 27$
3. $- 56$ $- 56$
4. 24
45. $k = - 1$ $k = - 1$
47. $k = - 7$ $k = - 7$
49. Remainder: 1
51. Remainder: 6

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Table of Contents for Building Skills