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**Sample text**

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.