By Ron Larson

This market-leading textual content maintains to supply scholars and teachers with sound, constantly based factors of the mathematical innovations. Designed for a two-term direction, the recent 8th version keeps the good points that experience made Algebra and Trigonometry an entire answer for either scholars and teachers: fascinating purposes, state-of-the-art layout, and leading edge know-how mixed with an abundance of conscientiously written workouts.

**Read or Download Algebra and Trigonometry (Eighth Edition) PDF**

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**Extra resources for Algebra and Trigonometry (Eighth Edition)**

**Example text**

16. 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.

2 In Exercises 99 –102, rationalize the numerator of the expression. Then simplify your answer. 99. Ί8 2 Ί5 ϩ Ί3 101. 3 100. 103. 5 3 64 104. 3 Ϫ216 107. 4 81 3 109. 121. MATHEMATICAL MODELING A funnel is filled with water to a height of h centimeters. 03͓125͞2 Ϫ ͑12 Ϫ h͒5͞2͔, 0 Յ h Յ 12 Ί2 3 Ί7 Ϫ 3 102. 4 In Exercises 103 –110, fill in the missing form of the expression. Radical Form Rational Exponent Form 811͞4 Ϫ ͑1441͞2͒ ͑Ϫ243͒1͞5 165͞4 represents the amount of time t (in seconds) that it will take for the funnel to empty.

2x Ϫ 1͒͑x ϩ 15͒ ͑2x ϩ 1͒͑x Ϫ 15͒ ͑2x Ϫ 3͒͑x ϩ 5͒ ͑2x ϩ 3͒͑x Ϫ 5͒ ͑2x Ϫ 5͒͑x ϩ 3͒ ͑2x ϩ 5͒͑x Ϫ 3͒ ͑2x Ϫ 15͒͑x ϩ 1͒ ͑2x ϩ 15͒͑x Ϫ 1͒ Testing the middle term, you will find the correct factorization to be 2x 2 ϩ x Ϫ 15 ϭ ͑2x Ϫ 5͒͑x ϩ 3͒. Now try Exercise 65. 4 Factoring Polynomials 41 Factoring by Grouping Sometimes polynomials with more than three terms can be factored by a method called factoring by grouping. It is not always obvious which terms to group, and sometimes several different groupings will work.