Download PDF by Ron Larson: Algebra and Trigonometry (Eighth Edition)
By Ron Larson
This market-leading textual content keeps to supply scholars and teachers with sound, continuously based reasons of the mathematical thoughts. Designed for a two-term direction, the hot 8th variation keeps the good points that experience made Algebra and Trigonometry a whole answer for either scholars and teachers: attention-grabbing functions, state of the art layout, and cutting edge expertise mixed with an abundance of conscientiously written routines.
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Additional info for Algebra and Trigonometry (Eighth Edition)
A. 5 2Ί3 b. 2 3 Ί 5 Solution a. b. 5 2Ί3 2 3 5 Ί ϭ Ί3 5 2Ί3 иΊ 3 Ί3 is rationalizing factor. ϭ 5Ί3 2͑3͒ Multiply. ϭ 5Ί3 6 Simplify. ϭ 2 3 5 Ί 3 52 Ί иΊ 3 52 3 52 is rationalizing factor. Ί ϭ 3 52 2Ί 3 Ί53 Multiply. ϭ 3 25 2Ί 5 Simplify. Now try Exercise 95. 2 Example 14 ϭ 23 Rationalizing a Denominator with Two Terms 2 2 ϭ 3 ϩ Ί7 3 ϩ Ί7 ϭ Exponents and Radicals и Multiply numerator and denominator by conjugate of denominator. 3 Ϫ Ί7 3 Ϫ Ί7 2͑3 Ϫ Ί7 ͒ 3͑3͒ ϩ 3͑ϪΊ7 ͒ ϩ Ί7͑3͒ Ϫ ͑Ί7 ͒͑Ί7 ͒ 2͑3 Ϫ Ί7 ͒ ͑3͒2 Ϫ ͑Ί7 ͒2 Use Distributive Property.
17. 18. A third-degree polynomial with leading coefficient Ϫ2 A fifth-degree polynomial with leading coefficient 6 A fourth-degree binomial with a negative leading coefficient A third-degree binomial with an even leading coefficient In Exercises 19–30, (a) write the polynomial in standard form, (b) identify the degree and leading coefficient of the polynomial, and (c) state whether the polynomial is a monomial, a binomial, or a trinomial. 19. 14x Ϫ 12 x 5 21. x2 Ϫ 4 Ϫ 3x4 23. 3 Ϫ x6 20. 2x 2 Ϫ x ϩ 1 22.
X 3 Ϫ x 2 ϩ 2x Ϫ 2 2x 3 Ϫ x 2 Ϫ 6x ϩ 3 6 ϩ 2x Ϫ 3x3 Ϫ x4 6x 3 Ϫ 2x ϩ 3x 2 Ϫ 1 72. 74. 76. 78. x 3 ϩ 5x 2 Ϫ 5x Ϫ 25 5x 3 Ϫ 10x 2 ϩ 3x Ϫ 6 x 5 ϩ 2x 3 ϩ x 2 ϩ 2 8x 5 Ϫ 6x 2 ϩ 12x 3 Ϫ 9 In Exercises 79–84, factor the trinomial by grouping. 79. 3x 2 ϩ 10x ϩ 8 81. 6x 2 ϩ x Ϫ 2 83. 15x 2 Ϫ 11x ϩ 2 80. 2x 2 ϩ 9x ϩ 9 82. 6x 2 Ϫ x Ϫ 15 84. 12x2 Ϫ 13x ϩ 1 In Exercises 85–120, completely factor the expression. 85. 6x 2 Ϫ 54 87. x3 Ϫ x2 86. 12x 2 Ϫ 48 88. 4 x3 Ϫ 16x 90. x 3 Ϫ 9x x 2 Ϫ 2x ϩ 1 92. 16 ϩ 6x Ϫ x 2 1 Ϫ 4x ϩ 4x 2 94.
Algebra and Trigonometry (Eighth Edition) by Ron Larson