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Multiplying Binomials

Multiplying Binomials. ALGEBRA 1 LESSON 9-3. pages 469–472  Exercises 1. 30 2. 35 3. 7 4. 13 5. x 2 + 7 x + 10 6. h 2 + 7 h + 12 7. k 2 + k – 42 8. a 2 – 17 a + 72 9. 2 x 2 + 3 x – 2 10. 2 y 2 – y – 15 11. r 2 + 2 r – 24.

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Multiplying Binomials

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  1. Multiplying Binomials ALGEBRA 1 LESSON 9-3 pages 469–472  Exercises 1. 30 2. 35 3. 7 4. 13 5.x2 + 7x + 10 6.h2 + 7h + 12 7.k2 + k – 42 8.a2 – 17a + 72 9. 2x2 + 3x – 2 10. 2y2 – y – 15 11.r2 + 2r – 24 12. 5y2 + 12y – 32 13.x2 – x – 42 14.m2 – 15m + 54 15. 4b2 + 10b – 6 16. 8w2 + 42w + 10 17. x2 + 2x – 63 18. a2 + 16a + 55 19.p2 + 9p – 10 20. 8x + 6 21. –2x2 + 5x + 48 22.x3 + 5x2 – 35x + 9 23.a3 – 6a2 + 9a – 4 24. 2g3 – 3g2 – 6g – 9 25. 3k3 + 19k2 – 33k + 56 26. 9x3 + 15x2 + 3x – 3 27. 2t3 – 17t2 + 36t – 15 28. 56p3 + 103p2 + 37p – 9 29. 48w3 – 28w2 – 2w + 2 30.p2 + p – 56 31.p2 + p – 56 32.p3 + 8p2 – 7p – 56 33. 25c2 – 40c – 9 34.n3 + 11n2 + 3n + 33 35. 15k4 + 3k3 + 10k2 + 2k 9-3

  2. Multiplying Binomials ALGEBRA 1 LESSON 9-3 36. 24h3 + 2h2 + 17h – 3 37. 9y4 – 9y3 – 7y2 – 2y – 2 38. 48q3 – 16q2 + 4q – 4 38.a. 2x2 + 12x + 16 b. 12x + 16 c. 10 ft by 5 ft 40. Answers may vary. Sample: (x + 2)(x2 + 3x + 4); x3 + 5x2 + 10x + 8 41. Answers may vary. Sample: vertical method, so you can keep terms aligned 42. 7.5x + 15 43. 1.5x2 + 2.5x – 1 44.a.x2 + 2x + 1, 121 x2 + 3x + 2, 132 x2 + 4x + 3, 143 b. For ax2 + bx + c, a corresponds to the hundreds place, b to the tens place, and c to the ones place. 45.n3 + 15n2 + 56n 46.n2 + 6n + 8 47. 6x2 + 36x + 54 48. 96t2 + 48t + 6 49. 24w4 + 168w2 + 294 50. a.V(t) = 7.02t2 + 1098.6t + 40,920 b. 46,588.5 million lb 51.a. 2000r3 + 6000r2 + 6000r + 2000 b. $2185.45 9-3

  3. Multiplying Binomials ALGEBRA 1 LESSON 9-3 52. g2 + 4 g + 4 53. 16 k2 + 40 k + 25 54. 9 x2 + 6 x + 55. 1008 56. 4611 57. 5824 58. 2432 59. A 60. H 61. B 62.[2] 8v3 + 2v2 + 3v – 1; multiply each term of (2v2 + v + 1) by 4v, and then multiply each term of (2v2 + v + 1) by –1. Add the 6 products. [1] incorrect calculation OR incorrect explanation 63.[4] [(2n + 6)(5n – 2)] – [(3n + 2)(n + 2)] = [10n2 + 26n – 12] – [3n2 + 8n + 4] = 7n2 + 18n – 16 [3] appropriate methods, but with one computational error [2] incorrect products subtracted correctly OR correct products subtracted incorrectly [1] correct answer, without work shown 64. 20v2 – 28v 65. 3c2 – 27c 66. 8t3 + 48t2 9-3

  4. 1 3w5 1 2x11 49 16x2 Multiplying Binomials ALGEBRA 1 LESSON 9-3 67. 3y2 – 10y 68. –5x3 + 55x2 69. –6t4 + t3 70. –4r6 + 12r 71. 9b5 + 18b3 72. 5(w + 9) 73.x(3x – 11) 74. 4a(a + 3) 75.n2(9 – n) 76. 17(2t – 3) 77. 9v(7v + 5) 78. 5m(5 – 12m2) 79. 11k(1 + 7k5) 80. 27 81. 82.y4 83. 84. 85. 86. 87. 1 88. 89. 64y4 1 27 3 5 9 25 9-3

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