Chapter 8

Sections 8.1, 8.2 and 8.3, page 67

1. (x + 2)(x³ + 3x² - 6x + 2) - 16.

3. 

5. a = -27,604.

7. 

9. f(0) = 0 = f(a). Two factors are x and x - a.

11. 0, -2, -4, -2/3.

13. 

15. 

17. 

25. x⁸ - 48x⁶ + 536x⁴ - 1728x² + 400 = 0.

27. (a) b.

(b) c(2x + 1) + b.

(c) d(3x² + 3x + 1) + c(2x + 1) + b.

(d) 

29. (a) 0. (b) 0. (c) 6d.

33. a = 38, b = 84, c = 81, d = 34, e = 5.

39.  No.
 

Section 8.4, page 71

1. (a) 4. (b) 8/3. (c) 16. (d) 32/3. (e) 16/3. (f) 

5. 1.

7. a = p³ - 2pq, b = p⁴q - 3p²q² + 2q³, c = p³q³ - 2pq⁴, d = q⁶.

9. (a) 0. (b) -3. (c) 1. (d) y³ -3y - 1 = 0.

11. (a) x = 3, y = -3, z = 1.

(b) t = 4, u = 2, v = -4, w = 1.
 
 

Wednesday, June 24, 1998