By Raymond Barnett, Michael Ziegler, Karl Byleen
The Barnett, Ziegler, Byleen "College Algebra" sequence is designed to be consumer pleasant and to maximise pupil comprehension. The objective of this sequence is to stress computational talents, rules, and challenge fixing instead of mathematical idea. the massive variety of pedagogical units hired during this textual content will advisor a pupil during the direction. built-in through the textual content, the scholars and teachers will locate Explore-Discuss bins which inspire scholars to imagine seriously approximately mathematically suggestions. In every one part, the labored examples are by means of matched difficulties that make stronger the idea that being taught. moreover, the textual content comprises an abundance of routines and functions that might persuade scholars that math turns out to be useful.
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Additional resources for College Algebra (8th edition)
5. bar67388_chR_014-035 11/2/06 17:10 Page 25 S E C T I O N R–2 R-2 25 Exponents Exercises All variables are restricted to prevent division by 0. In Problems 1–26, evaluate each expression that results in a rational number. 1. 28 2. 38 2 4 3. a b 3 3 3 4. a b 5 5. 4Ϫ4 6. 2Ϫ6 7. (Ϫ5)4 8. (Ϫ2)5 9. (Ϫ3)Ϫ1 10. (Ϫ3)Ϫ2 11. Ϫ7Ϫ2 12. Ϫ70 Simplify Problems 51–62, and write the answers using positive exponents only. 51. a x4yϪ1 Ϫ2 3 x y b 2 Ϫ2 Ϫ3 52. a mϪ2n3 2 b m4nϪ1 53. a 2xϪ3y2 55. a Ϫ3 1ր12 56. a mϪ2ր3 Ϫ6 b nϪ1ր2 54.
Write your answer in scientific notation and in standard decimal form. 97. ECONOMICS The number of units N of a finished product produced from the use of x units of labor and y units of capital for a particular Third World country is approximated by N ϭ 10x3ր4y1ր4 Cobb-Douglas equation Estimate how many units of a finished product will be produced using 256 units of labor and 81 units of capital. 98. ECONOMICS The number of units N of a finished product produced by a particular automobile company where x units of labor and y units of capital are used is approximated by N ϭ 50x1ր2y1ր2 Cobb-Douglas equation Estimate how many units will be produced using 256 units of labor and 144 units of capital.
The number 0 is also a polynomial but is not assigned a degree. EXAMPLE 1 Polynomials and Nonpolynomials (A) Polynomials in one variable: x2 Ϫ 3x ϩ 2 6x3 Ϫ 12x Ϫ 1 3 (B) Polynomials in several variables: 3x2 Ϫ 2xy ϩ y2 4x3y2 Ϫ 13xy2z5 (C) Nonpolynomials: 12x Ϫ 3 ϩ5 x x2 Ϫ 3x ϩ 2 xϪ3 2x2 Ϫ 3x ϩ 1 (D) The degree of the first term in 6x3 Ϫ 12x Ϫ 13 is 3, the degree of the second term is 1, the degree of the third term is 0, and the degree of the whole polynomial is 3. (E) The degree of the first term in 4x3y2 Ϫ 13xy2 is 5, the degree of the second term is 3, and the degree of the whole polynomial is 5.
College Algebra (8th edition) by Raymond Barnett, Michael Ziegler, Karl Byleen