Factoring

To use the box thingy to factor....

2x^2 + 7x +3

Put the 7 in the top left box. Multiply the 2 and 3 to get 6 and put 6 in the top right box.
Find numbers you multiply to get 6 that add up to 7 (6 and 1) and put them in the lower boxes. It doesn't matter which one goes where. Then rewrite the equation replacing the 7x with 6x and 1x....
2x^2 + 6x + x +3
Group and then factor
2x(x + 3) +1(x + 3)
(x + 3)(2x + 1)

Does that help?

Algebra I Answers #1-100

1. d
2. d
3. c
4. d
5. a
6. a
7. c
8. b
9. b
10. a
11. d
12. a
13. b
14. c
15. a
16. c
17. d
18. c
19. d
20. c
21. b
22. c
23. d
24. c
25. d
26. a
27. d
28. a
29. c
30. d
31. a
32. d
33. a
34. b
35. b
36. a
37. a
38. b
39. b
40. d
41. c
42. b
43. d
44. b
45. d
46. a
47. b
48. b
49. d
50. a
51. d
52. b
53. b
54. d
55. a
56. b
57. b
58. c
59. c
60. b
61. b
62. d
63. c
64. d
65. c
66. a
67. b
68. c
69. c
70. c
71. c
72. c
73. b
74. a
75. d
76. b
77. b
78. c
79. c
80. d
81. d
82. b
83. b
84. c
85. d
86. b
87. a
88. b
89. a
90. b
91. c
92. c
93. a
94. a
95. b
96. d
97. c
98. c
99. c
100. b

#50

Use the "sum" from the sum & product rule.
One solution is 3+2i and the other is its conjugate, 3-2i.
(3+2i) + (3-2i) = -b/a
6/1 = -b/a
b = -6

EOC Packet Answers #1-99

1. a 27. c 52. d 77. d
2. b 28. c 53. b 78. d
3. b 29. a 54. d 79. d
4. d 30. c 55. c 80. c
5. d 31. a 56. b 81. c
6. b 32. a 57. b 82. b
7. a 33. a 58. b 83. c
8. c 34. d 59. a 84. a
9. c 35. b 60. d 85. a
10. d 36. b 61. b 86. c
11. a 37. d 62. c 87. d
12. d 38. d 63. d 88. b
13. c 39. a 64. a 89. a
15. c 40. c 65. c 90. a
16. b 41. b 66. d 91. c
17. a 42. c 67. c 92. b
18. c 43. b 68. d 93. a
19. d 44. a 69. a 94. a
20. c 45. b 70. c 95. c
21. c 46. b 71. d 96. b
22. d 47. a 72. b 97. d
23. c 48. a 73. b 98. a
24. b 49. c 74. c 99. c
25. c 50. b 75. d
26. c 51. d 76. b