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By Lial, Margaret L

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The College Algebra sequence, through Lial, Hornsby, Schneider, and Daniels, combines the adventure of grasp lecturers to assist scholars improve either the conceptual realizing and the analytical abilities valuable for fulfillment in arithmetic. With this most modern version, the authors reply to the demanding situations of recent scholar expectancies and new school room versions. The Lial staff is now providing a brand new suite of assets to help today’s teachers and students.

 

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12x 0y 423 p4 2 b q 33. - a 31. a x 3y 5 0 b z - 4m2 4 b t p2 34. - a p 2q 3 0 b r3 Match each expression in Column I with its equivalent in Column II. See Example 3. I II 35.  1 C. - 1 (c) C.  1 E.  3 E. 3 Polynomials 59 Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. See Example 4. 37. -5x 11 38. -4y 5 39. 6x + 3x 4 40. -9y + 5y 3 41. -7z 5 - 2z 3 + 1 42. -9t 4 + 8t 3 - 7 43.

For example, there are no elements common to both 550, 51, 546 and 552, 53, 55, 566, so these two sets are disjoint. 550, 51, 546 ¨ 552, 53, 55, 566 = ∅ EXAMPLE 5 Finding Intersections of Two Sets Find each of the following. Identify any disjoint sets. (a) 59, 15, 25, 366 ¨ 515, 20, 25, 30, 356 (b) 52, 3, 4, 5, 66 ¨ 51, 2, 3, 46 (c) 51, 3, 56 ¨ 52, 4, 66 SOLUTION (a) 59, 15, 25, 366 ¨ 515, 20, 25, 30, 356 = 515, 256 The elements 15 and 25 are the only ones belonging to both sets. (b) 52, 3, 4, 5, 66 ¨ 51, 2, 3, 46 = 52, 3, 46 (c) 51, 3, 56 ¨ 52, 4, 66 = ∅ Disjoint sets ■ ✔ Now Try Exercises 69, 75, and 85.

213r 2 + 4r + 22 - 31 - r 2 + 4r - 52 93. p14p - 62 + 213p - 82 94. m15m - 22 + 915 - m2 95. -y1y 2 - 42 + 6y 212y - 32 96. -z 319 - z2 + 4z12 + 3z2 Perform each division. See Examples 10 and 11. 97. - 4x 7 - 14x 6 + 10x 4 - 14x 2 - 2x 2 99. 4x 3 - 3x 2 + 1 x-2 100. 3x 3 - 2x + 5 x-3 101. 6m3 + 7m2 - 4m + 2 3m + 2 102. 10x 3 + 11x 2 - 2x + 3 5x + 3 103. x 4 + 5x 2 + 5x + 27 x2 + 3 104. k 4 - 4k 2 + 2k + 5 k2 + 1 98. - 8r 3s - 12r 2s2 + 20rs 3 - 4rs (Modeling) Solve each problem. 105. Geometric Modeling Consider the figure, which is a square divided into two squares and two rectangles.

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