30. Referring to page 889, write two important guidelines to follow when factoring trinomialsFor Exercises 31-48, factor completely. Be sure to factor out the GCF when necessary. (See Examples 3-4.)31. -13r+ - 3032. 12y 160 + y33. -18w 65 + w34. 17t+ +7235. 22t7236. 10q 1200+q37. 3x-30x - 7238. 2z24z -19839. 8p3 -40p2+32p40. 5w-35w50w41. y-12y2+36y z42. u6u +9r2u243. - 10x - 2444. -y-12y - 3545. -m2 m +64x46. -n5n +647. -4 2c -6c- 10d248.-40d -30Mixed ExercisesFor Exercises 49-66, factor completely49. ry19xy +60xy50. yz+ 17yz +60z51. 12p2-96p+ 8452. 5w2 - 40w-4553. -2m2 + 22m - 2054. -3x2-36x - 8155. +6cd +5d56. x+8xy12y257. a -9ab +14b258. m2-15mn + 44n59. a+4a + 1860. b2- 6a +1561. 24+ q-6362. -32-4t+?63. x2+20x+10064. z-24z + 14465. +18t-4066. d + 2d - 99

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Asked Nov 23, 2019
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30. Referring to page 889, write two important guidelines to follow when factoring trinomials
For Exercises 31-48, factor completely. Be sure to factor out the GCF when necessary. (See Examples 3-4.)
31. -13r+ - 30
32. 12y 160 + y
33. -18w 65 + w
34. 17t+ +72
35. 22t
72
36. 10q 1200+q
37. 3x-30x - 72
38. 2z24z -198
39. 8p3 -40p2+32p
40. 5w-35w50w
41. y-12y2+36y z
42. u6u +9r2u2
43. - 10x - 24
44. -y-12y - 35
45. -m2 m +6
4x
46. -n5n +6
47. -4 2c -6c
- 10d2
48.-40d -30
Mixed Exercises
For Exercises 49-66, factor completely
49. ry19xy +60xy
50. yz+ 17yz +60z
51. 12p2-96p+ 84
52. 5w2 - 40w-45
53. -2m2 + 22m - 20
54. -3x2-36x - 81
55. +6cd +5d
56. x+8xy12y2
57. a -9ab +14b2
58. m2-15mn + 44n
59. a+4a + 18
60. b2- 6a +15
61. 24+ q-63
62. -32-4t+?
63. x2+20x+100
64. z-24z + 144
65. +18t-40
66. d + 2d - 99
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30. Referring to page 889, write two important guidelines to follow when factoring trinomials For Exercises 31-48, factor completely. Be sure to factor out the GCF when necessary. (See Examples 3-4.) 31. -13r+ - 30 32. 12y 160 + y 33. -18w 65 + w 34. 17t+ +72 35. 22t 72 36. 10q 1200+q 37. 3x-30x - 72 38. 2z24z -198 39. 8p3 -40p2+32p 40. 5w-35w50w 41. y-12y2+36y z 42. u6u +9r2u2 43. - 10x - 24 44. -y-12y - 35 45. -m2 m +6 4x 46. -n5n +6 47. -4 2c -6c - 10d2 48.-40d -30 Mixed Exercises For Exercises 49-66, factor completely 49. ry19xy +60xy 50. yz+ 17yz +60z 51. 12p2-96p+ 84 52. 5w2 - 40w-45 53. -2m2 + 22m - 20 54. -3x2-36x - 81 55. +6cd +5d 56. x+8xy12y2 57. a -9ab +14b2 58. m2-15mn + 44n 59. a+4a + 18 60. b2- 6a +15 61. 24+ q-63 62. -32-4t+? 63. x2+20x+100 64. z-24z + 144 65. +18t-40 66. d + 2d - 99

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Expert Answer

Step 1

Given polynomial is

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12p* - 96р+84

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Step 2

On factoriz...

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12p2 -96p+84-12(p2 -8p+7) -12[p -(7+1)p+7] 12 p-7p-p+7] =12[p(p-7)-1(p-7] -12[(p-1)(p-7)] -12(p-1)(p-7)

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