Algebra and Trigonometry, 8th Edition by Ron Larson

By Ron Larson

This market-leading textual content keeps to supply scholars and teachers with sound, always established causes of the mathematical thoughts. Designed for a two-term direction, the hot 8th variation keeps the good points that experience made Algebra and Trigonometry an entire answer for either scholars and teachers: fascinating functions, state-of-the-art layout, and leading edge expertise mixed with an abundance of conscientiously written routines.

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Extra info for Algebra and Trigonometry, 8th Edition

Example text

107. 109. 111. 113. 114. 115. 116. 117. 118. 119. (b) a is shown in the following figure. x x x x x 1 1 1 1 1 x (a) x x 1 b b (c) a a a a b b b b b (d) b b 1 1 1 1 b 121. 122. 123. 124. a 2 Ϫ b 2 ϭ ͑a ϩ b͒͑a Ϫ b͒ a 2 ϩ 2ab ϩ b 2 ϭ ͑a ϩ b͒ 2 a 2 ϩ 2a ϩ 1 ϭ ͑a ϩ 1͒ 2 ab ϩ a ϩ b ϩ 1 ϭ ͑a ϩ 1͒͑b ϩ 1͒ x 125. 126. 127. 128. 3x 2 ϩ 7x ϩ 2 ϭ ͑3x ϩ 1͒͑x ϩ 2͒ x 2 ϩ 4x ϩ 3 ϭ ͑x ϩ 3͒͑x ϩ 1͒ 2x 2 ϩ 7x ϩ 3 ϭ ͑2x ϩ 1͒͑x ϩ 3͒ x 2 ϩ 3x ϩ 2 ϭ ͑x ϩ 2͒͑x ϩ 1͒ 1 GEOMETRY In Exercises 129–132, write an expression in factored form for the area of the shaded portion of the figure.

5 x3 ϩ x2 Ϫ x Ϫ 5 4 x ϩ 3x ϩ 4 x ϩ 9 ͑t Ϫ 1͒ 2 Ϫ 49 108. ͑x 2 ϩ 1͒ 2 Ϫ 4x 2 ͑x 2 ϩ 8͒ 2 Ϫ 36x 2 110. 2t 3 Ϫ 16 5x 3 ϩ 40 112. 4x͑2x Ϫ 1͒ ϩ ͑2x Ϫ 1͒ 2 5͑3 Ϫ 4x͒ 2 Ϫ 8͑3 Ϫ 4x͒͑5x Ϫ 1͒ 2͑x ϩ 1͒͑x Ϫ 3͒ 2 Ϫ 3͑x ϩ 1͒ 2͑x Ϫ 3͒ 7͑3x ϩ 2͒ 2͑1 Ϫ x͒ 2 ϩ ͑3x ϩ 2͒͑1 Ϫ x͒3 7x͑2͒͑x 2 ϩ 1͒͑2x͒ Ϫ ͑x2 ϩ 1͒ 2͑7͒ 3͑x Ϫ 2͒2͑x ϩ 1͒4 ϩ ͑x Ϫ 2͒ 3͑4͒͑x ϩ 1͒ 3 2x͑x Ϫ 5͒ 4 Ϫ x 2͑4͒͑x Ϫ 5͒ 3 5͑x6 ϩ 1͒4͑6x5͒͑3x ϩ 2͒3 ϩ 3͑3x ϩ 2͒2͑3͒͑x6 ϩ 1͒5 x2 120. ͑x2 ϩ 1͒4 Ϫ ͑x 2 ϩ 1͒5 2 89. 91. 93. 95. 97. 99. 101. 103. 105. 107. 109. 111.

58. 59. 60. 61. 62. Add Ϫ ϩ 8 and Ϫ 4. 5 3 Add 2x Ϫ 3x ϩ 2x ϩ 3 and 4x 3 ϩ x Ϫ 6. Subtract x Ϫ 3 from 5x 2 Ϫ 3x ϩ 8. 6t 4 Ϫ 2t 2. Multiply ͑x ϩ 7͒ and ͑2x ϩ 3͒. Multiply ͑3x ϩ 1͒ and ͑x Ϫ 5͒. Multiply ͑x2 ϩ 2x ϩ 3͒ and ͑x2 Ϫ 2x ϩ 3͒. Multiply ͑x2 ϩ x Ϫ 4͒ and ͑x2 Ϫ 2x ϩ 1͒. 7x 3 2x 2 Ϫ3x3 In Exercises 63–100, multiply or find the special product. 63. 65. 67. 69. 71. 73. 75. 77. 79. 80. 81. 82. 83. 84. 85. 87. 89. 91. 93. 94. 95. 96. 97. 98. 99. 100. ͑x ϩ 3͒͑x ϩ 4͒ 64. ͑x Ϫ 5͒͑x ϩ 10͒ ͑3x Ϫ 5͒͑2x ϩ 1͒ 66.