Judith A. Beecher, Judith A. Penna, Marvin L. Bittinger's Algebra and Trigonometry (3rd Edition) PDF

By Judith A. Beecher, Judith A. Penna, Marvin L. Bittinger

ISBN-10: 0321466209

ISBN-13: 9780321466204

Those authors have created a booklet to truly aid scholars visualize arithmetic for larger comprehension. via developing algebraic visible side-by-sides to resolve quite a few difficulties within the examples, the authors convey scholars the connection of the algebraic answer with the visible, frequently graphical, answer. moreover, the authors have additional quite a few new instruments to assist scholars higher use the booklet for max effectiveness not to basically go the direction, yet really comprehend the material.

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Additional info for Algebra and Trigonometry (3rd Edition) (Beecher/Penna/Bittinger Series)

Example text

25t 2 Ϫ 16 83. x 2 ϩ 9x ϩ 20 84. y 2 ϩ y Ϫ 6 34. 6x 2 Ϫ 7x Ϫ 20 85. y 2 Ϫ 6y ϩ 5 86. x 2 Ϫ 4x Ϫ 21 35. 4x 2 ϩ 15x ϩ 9 36. 2y 2 ϩ 7y ϩ 6 87. 2a2 ϩ 9a ϩ 4 88. 3b 2 Ϫ b Ϫ 2 37. 2y 2 ϩ y Ϫ 6 38. 20p2 Ϫ 23p ϩ 6 89. 6x 2 ϩ 7x Ϫ 3 90. 8x 2 ϩ 2x Ϫ 15 39. 6a2 Ϫ 29ab ϩ 28b 2 40. 10m2 ϩ 7mn Ϫ 12n2 91. y 2 Ϫ 18y ϩ 81 92. n 2 ϩ 2n ϩ 1 41. 12a Ϫ 4a Ϫ 16 42. 12a Ϫ 14a Ϫ 20 93. 9z Ϫ 24z ϩ 16 94. 4z 2 ϩ 20z ϩ 25 2͑n Ϫ 12͒ ͑n ϩ 2͒ ͑ y 2 ϩ 3͒ ͑ y 2 Ϫ 7͒ 2 ͑2n Ϫ 7͒ ͑n ϩ 8͒ ͑3x ϩ 2͒ ͑4x ϩ 1͒ ͑4x ϩ 3͒ ͑x ϩ 3͒ ͑2y Ϫ 3͒ ͑ y ϩ 2͒ ͑3a Ϫ 4b͒ ͑2a Ϫ 7b͒ 2 4͑3a Ϫ 4͒ ͑a ϩ 1͒ 2 ͑3y Ϫ 5͒ ͑ y ϩ 4͒ ͑3x ϩ 4͒ ͑2x Ϫ 5͒ ͑2y ϩ 3͒ ͑ y ϩ 2͒ ͑4p Ϫ 3͒ ͑5p Ϫ 2͒ ͑5m Ϫ 4n͒ ͑2m ϩ 3n͒ 2 2͑6a ϩ 5͒ ͑a Ϫ 2͒ ͑m ϩ 3n͒ ͑m Ϫ 3n͒ ͑x ϩ 4͒ ͑x ϩ 5͒ ͑ y Ϫ 5͒ ͑ y Ϫ 1͒ ͑2a ϩ 1͒ ͑a ϩ 4͒ ͑3x Ϫ 1͒ ͑2x ϩ 3͒ ͑ y Ϫ 9͒ 2 2 ͑3z Ϫ 4͒2 6͑ y ϩ 1͒ ͑ y Ϫ 1͒ 80.

2 ͙2 25/6 3 106. ͙ 642 4 16 Simplify and then, if appropriate, write radical notation. 107. ͑2a3/2 ͒ ͑4a1/2 ͒ 8a 2 108. ͑3a5/6 ͒ ͑8a2/3 ͒ 109. ͩ ͪ 110. ͩ ͪ 111. x 2/3y 5/6 3 x͙ y x Ϫ1/3y 1/2 112. a1/2b 5/8 a1/4b 3/8 x6 9b Ϫ4 1/2 93. a͙ a ͱ , or a 4 ͙ b3 2 5 x 94. y ͱ 109. 4 ͙͑a ϩ x͒3 ͙ ͑a ϩ x͒2 4 ͙a ϩ x 124. ͙ ͑x ϩ y͒2 ͙ x ϩ y ͙͑x ϩ y͒3 3 12 ͑a ϩ x͙͒ ͑a ϩ x͒11 1 3 ͙͑x ϩ y͒2 24a͙a 1/2 126. Explain how you would determine whether 10͙26 Ϫ 50 is positive or negative without carrying out the actual computation.

3 c) ͙ Ϫ8 ෇ Ϫ2, because ͑Ϫ2͒3 ෇ Ϫ8. d) ͱ 5 2 32 ෇ , because 243 3 ͩͪ 2 3 5 ෇ 25 32 ෇ . 35 243 4 e) ͙ Ϫ16 is not a real number, because we cannot find a real number that can be raised to the fourth power to get Ϫ16. We can generalize Example 1(e) and say that when a is negative and n n 4 is even, ͙ a is not a real number. For example, ͙Ϫ4 and ͙ Ϫ81 are not real numbers. We can find ͙36 and Ϫ͙36 in Example 1 using the square-root feature on the keypad of a graphing calculator, and we can use the cube-root 3 feature to find ͙ Ϫ8.

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Algebra and Trigonometry (3rd Edition) (Beecher/Penna/Bittinger Series) by Judith A. Beecher, Judith A. Penna, Marvin L. Bittinger


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