Download e-book for kindle: Algebra for college students by Bernard Kolman; Arnold Shapiro

By Bernard Kolman; Arnold Shapiro

ISBN-10: 0124178758

ISBN-13: 9780124178755

ISBN-10: 1483271218

ISBN-13: 9781483271217

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79. 80. 8l. 82. 2 The set of real numbers between - 2 35 36 THE REAL NUMBER SYSTEM If I is the set of integers and N is the set of natural numbers, list the elements of each of the following. 83. 85. 87. 88. {x E / l -S < x :

When we are interested in the size or magnitude of a number, a, and don't care about the direction or sign, we use the notation of absolute value which we write as I a I · Thus, 141 = 4 1 -4 1 = 4 EXAMPLE 1 (a) 1 -6 1 = 6 (d) 14 - 91 = (b) 1 -5 1 = 5 (e) I t - f I 1-; I t (c) 14 - 41 (d) (d) 2 (e) 2 7 PROGRESS CHECK 1 Find the values. 4 (c) 0 = EXAMPLE 2 (a) 1 -3 1 + 1 -6 1 = 3 + 6 = 9 (b) 1 3 - 5 1 - 1 8 - 61 = 1 -2 1 - 1 2 1 = 2-2 = = 16 - 8 1 0 (c) (d) 141 - 61 12 � 8 1 11--3611 63 2 I �6 1 i -21 2 71 (d) 29 --- = -- = - = - I = = 1 - 21 - 1 - 41 1 -4 3-1 -1 - 61 PROGRESS CHECK 2 Find the values.

52. � - . EJ � 53. Find the value of the polynomial 2. 3x2 - 4. 2 when x = 4. 1. EJ � 54. 25. = 55. Write a polynomial giving the area of a circle of radius r. 56. Write a polynomial giving the area of a triangle of base b and height h. S 57. 3. What does each of the following polynomials represent? 3 T 1 58. E. T. stock at $60 per share. What does the polynomial 55x + 45y + 60z represent? 2 ADDITION AND SUBTRACTION OF POLYNaVUALS Those terms of a polynomial which differ only in their coefficients are called like terms.

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Algebra for college students by Bernard Kolman; Arnold Shapiro


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