Adding and Subtracting Polynomials ALGEBRA 1 LESSON 9

Adding and Subtracting Polynomials ALGEBRA 1 LESSON 9 -1 pages 459– 461 Exercises 12. not a polynomial 21. 8 m 2 + 15 1. 1 13. constant monomial 22. 10 k + 4 2. 3 14. quadratic binomial 23. 8 w 2 – 3 w + 4 3. 0 24. 20 x 2 + 7 4. 10 15. – 3 x 2 + 4 x; quadratic binomial 5. 4 16. 4 x + 9; linear binomial 6. 0 17. c 2 + 4 c – 2; quadratic trinomial 27. 8 y 4 + 7 y 3 + 4 y 18. – 2 z 2 + 5 z – 5; quadratic trinomial 29. b + 1 7. 4 8. 0 9. quadratic trinomial 10. linear binomial 11. cubic trinomial 19. 15 y 8 – 7 y 3 + y; eighth degree trinomial 25. 10 g 4 + 11 g 26. 6 a 2 – 7 a + 21 28. 2 c – 14 30. 4 h 2 + 6 h – 18 20. 4 q 4 + 3 q 2 – 8 q – 10; fourth degree polynomial with 4 terms 9 -1

Adding and Subtracting Polynomials ALGEBRA 1 LESSON 9 -1 31. 7 n 4 + n 3 42. a. 32. 15 x 5 + x 33. 5 w 2 – 4 w + 10 binocular: relating to, used by, or involving both eyes at the same time 34. – 5 x 4 – x 3 – 7 x 2 + x 35. 18 y 2 + 5 y 36. – 6 x 3 + 3 x 2 – 4 37. – 7 z 3 + 6 z 2 + 2 z – 5 38. 7 a 3 + 11 a 2 – 4 a – 4 39. 28 c – 16 40. 39 x – 7 monogram: a design composed of one or more letters, typically the initials of a name; used as an identifying mark b. c. tricuspid: having three cusps, usually said of a molar tooth polyglot: a person with a speaking, reading, or writing knowledge of several languages Answers may vary. Sample: monopoly, biathlon, tripod, polychrome yes 43. –x 4 + x 3 + 15 x 41. Kwan did not take the opposite of each term in 44. – 7 g 8 – 2 g 3 – 11 g 2 + 2 g the polynomial being subtracted. 9 -1

Adding and Subtracting Polynomials ALGEBRA 1 LESSON 9 -1 49. 5 x + 18 55. a. p(t) = 57 t + 2332. 3 b. 2, 617, 300 c. the difference between the number of men and the number of women enrolled in a college 56. D 50. 9 a – 6 57. G 51. No; both terms of a binomial cannot be constants. 58. A 52. a. y = 2 x – 1; y = 0. 5 x + 3 60. B 45. –h 10 – 5 h 9 + 8 h 5 + 2 h 4 46. t 4 + 4 t + 6 47. – 5 b 9 + 3 b 8 – 4 b 7 + 8 b 48. – 5 k 4 + k 3 – k 2 + 11 b. D(x) = 1. 5 x – 4 c. 8 or 2 2 59. C 61. C 3 – 4 x 2 + 1) – (x 2 + 2) = 62. [2](9 x 3 3 9 x 3 – 4 x 2 + 1 – x 2 – 2 = d. The lines intersect at x = 2 2. 3 3) + (– 4 x 2 – x 2 ) + (1 – 2) = (9 x 3 53. 5 a b – 5 ab 9 x 3 – 5 x 2 – 1 4 4 4 6 54. –p q – 11 p q + 14 pq [1]one incorrect term OR no work shown 9 -1

Adding and Subtracting Polynomials ALGEBRA 1 LESSON 9 -1 63. 2 75. – 30 t– 7 64. 1. 4 76. (– 3)2 65. 5 77. – 12 h 10 66. 5 78. 10 q 7 67. exponential growth 79. y = |x| + 5 68. exponential decay 80. y = |x – 6| 69. exponential growth 81. y = |x| – 12 70. exponential decay 82. y = |x| + 7 71. 718 83. y = |x + 10| 72. 2– 1 84. y = |x + 0. 4| 73. 36 x 5 85. y = |x| + 5. 2 74. 3 a 3 b 2 86. y = |x| – 2. 3 9 -1