Answers for Lesson 5-4   Exercises
1.	3; 3(a2 + 3)	2. 5; 5(5b2 - 7)           3. x; x(x - 2)
4.		t; t(5t + 7)	5. 7y; 7y(2y + 1)       6. 9p; 9p(3p - 1)
7.	 (x + 1)(x + 2)       8. (x + 2)(x + 3)        9. (x + 2)(x + 5)
10. (x + 2)(x + 8)    11. (y + 3)(y + 12)    12. (x + 2)(x + 20)
13. (x - 1)(x - 2)     14. (x - 12)(x - 1)   	    15. (r - 2)(r - 9)
16. (x - 4)(x - 6)     17. (d - 3)(d - 9)         18. (x - 4)(x - 9)
19. (x - 7)(x + 2)     20. (x + 5)(x - 4)        21. (x - 8)(x + 5)
22. (c + 9)(c - 7)     23. (x + 15)(x - 5)      24. (t - 11)(t + 4)
25. (3x + 4)(x + 9)		26. (x - 8)(2x - 3)
27. (r + 2)(5r + 13)	28. (m - 3)(2m - 5)
29. (t + 4)(5t + 8)	30. (x - 12)(2x - 3)
31. (x + 4)(3x - 5)	32. (y + 4)(5y - 8)
33. (x - 2)(7x + 6)	34. (z + 4)(2z - 7)
35. (x + 4)(3x - 4)	36. (4k + 3)(7k - 2)
37. (x + 1)2	38. (t - 7)2
39. (x - 9)2	40. (2n - 5)2
41. (3x + 8)2                        42. (9z + 2)2
43. (x + 2)(x - 2)                  44. (c + 8)(c - 8)
45. (3x + 1)(3x - 1)	46. x2 - 16; (x + 4)(x - 4)
47. 5x - 1 by 5x - 1                48. (3x - 17) cm
49. (x + y)2 - y2; x(x + 2y)       50. (x - 7) ft
51. 9(x + 2)(x - 2)                 52. 2(3z + 2)(3z - 2)
53. 3(2y + 5)(2y5)              54. 16(2t + 1)(2t - 1)

Answers for Lesson 5-4   Exercises (cont.)
55.	3(2x + 3)2	56. 4(2x - 5)2
57.2(a - 4)2	58. 3(x - 9)(x + 1)
59. 2(3b - 1)(3b + 5)	60. 4(n - 2)(n - 3)
61. 3(y + 3)(y + 5)	62. - (x - 1)(x - 4)
63. 2(x - 5)(2x - 1)	64. (x + 1)(x - 1)
65. - 6(z2 + 100)	66.   h(R + r)(R - r)
67.	 (x - 70) ft
68.	Factor 3 from the terms to get 3(x2 + 2x - 24). Look for    numbers whose product is -24 and whose sum is 2. The numbers -4 and 6 work. The complete factorization is
3(x - 4)(x + 6).
69.	 Check students’ work.
70.	The third line should be x(2x - 5) - (2x - 5), and the final  line should be (x - 1)(2x - 5).
71.	First factor out 4x2 to get 4x2 (x2+ 6x + 8).
To factor x2 + 6x + 8, note that the numbers 2 and 4 have a product of 8 and a sum of 6. The complete factorization is 4x2 (x + 2)(x + 4).
72.	(0.5t + 0.4)(0.5t - 0.4)	73. 100(9x - 10)(9x + 10)
74. 100(6z - 7)(6z + 7)	75. (x + 12)(x - 3)
76. (x - 10)(x - 9)	77. (2x + 9)(3x + 14)
78. 2(a + 1)(6a - 7)