By Soo T. Tan

Market-leading utilized arithmetic FOR THE MANAGERIAL, lifestyles, AND SOCIAL SCIENCES, fifth variation, is a conventional textual content with a marginally smooth suppose. This new version contains know-how in any such means that either conventional and sleek practitioners locate the aid they should educate successfully. carrying on with its culture of mathematical accuracy, the recent 5th version teaches via software and makes use of actual and practical examples to inspire scholars. It combines good conception with cutting edge studying instruments, incorporates a strong complement package deal, and provides unrivaled flexibility that makes the path effortless to educate. available for majors and non-majors alike, the publication makes use of an intuitive procedure that introduces summary thoughts via examples drawn from universal, real-life studies to which scholars can relate. It additionally attracts purposes from readers' fields of curiosity. moreover, insightful Portfolios spotlight the careers of genuine humans and speak about how they contain math into their expert lives. quite a few routines determine scholars have an effective realizing of textual content thoughts prior to advancing to the subsequent subject. Bringing strong assets to scholars' fingertips, the text's fascinating array of supplements--including superior WebAssign, answer video clips, and private Tutor--equips scholars with large studying aid to assist them maximize their learn time.

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**Example text**

EXAMPLE 5 Factor: a. 3x 2 ϩ 4x Ϫ 4 b. 3x 2 Ϫ 6x Ϫ 24 Solution a. Using trial and error, we find that the correct factorization is 3x 2 ϩ 4x Ϫ 4 ϭ (3x Ϫ 2)(x ϩ 2) b. Since each term has the common factor 3, we have 3x 2 Ϫ 6x Ϫ 24 ϭ 3(x 2 Ϫ 2x Ϫ 8) Using the trial-and-error method of factorization, we find that x 2 Ϫ 2x Ϫ 8 ϭ (x Ϫ 4)(x ϩ 2) Thus, we have 3x 2 Ϫ 6x Ϫ 24 ϭ 3(x Ϫ 4)(x ϩ 2) Factoring by Regrouping Sometimes a polynomial may be factored by regrouping and rearranging terms so that a common term can be factored out.

What is a0 if a is a nonzero real number? What is a Ϫn if n is a positive integer and a ϶ 0? 2. Write all the properties of exponents and illustrate with examples. 5 Exercises In Exercises 1–20, rewrite the number without using exponents. 33. a 2u 2 √ 3 Ϫ1 b 3u√ 34. a aϪ2 2 2b b Ϫ3 1. (Ϫ2)3 2 4 2. aϪ b 3 35. (3xϪ2)3(2x 2)5 3. 7Ϫ2 3 Ϫ2 4. a b 4 37. 1 Ϫ2 5. Ϫ aϪ b 4 6. Ϫ4 39. 7. 2Ϫ2 ϩ 3Ϫ1 2 2 8. Ϫ3Ϫ2 Ϫ aϪ b 3 41. (Ϫ2x)Ϫ2(3y)Ϫ3(4z)Ϫ2 42. (3xϪ1)2(4yϪ1)3(2z)Ϫ2 43. (a2bϪ3)2(aϪ2b2)Ϫ3 44. (5u2 √Ϫ3)Ϫ1 и 3(2u2 √ 2)Ϫ2 2 10.

Of Justice 60. 5t ϩ 509 ing (in dollars), including expenditures for Medicaid and other federal, state, and local government public health care, is (0 Յ t Յ 6) where t is measured in years and t ϭ 0 corresponds to the beginning of 1994. The corresponding government spend- 63. The degree of the product of a polynomial of degree m and a polynomial of degree n is mn. 64. Suppose p and q are polynomials of degree n. Then p ϩ q is a polynomial of degree n. 65. Suppose p is a polynomial of degree m and q is a polynomial of degree n, where m Ͼ n.