Page 734 - Basic College Mathematics with Early Integers

710 A PPEND I X B I EXPONENTS AND POLYNOMIALS

29. 121y - 4.62 - 136y - 8.22 30. 18.6x + 42 - 19.7x - 932

2 2 2 2
31. 118t - 4t + 22 - 1-t + 7t - 12 32. 135x + x - 52 - 117x - x + 52

3 2 2 3 2 2
33. 1b - 2b + 10b + 112 + 1b - 3b - 122 34. 1-2z + 5z - 13z + 62 + 13z - 7z - 62

2 2 2 2
35. Add 16x - 72 and 1-11x - 11x + 202. 36. Add 1-2x + 3x2 and 19x - x + 142.

3 6 2 7 2 3
37. Subtract a3z - b from a3z + b. 38. Subtract a8y - yb from a -5y + yb.
7 7 10 10

Objective Find the value of each polynomial when x = 2. See Examples 10 and 11.

2
39. -3x + 7 40. -5x - 7 41. x - 6x + 3

3x 2 7x 3
2
42. 5x + 4x - 100 43. - 14 44. - x + 5
2 14

Find the value of each polynomial when x = 5. See Examples 10 and 11.

45. 2x + 10 46. -5x - 6 47. x 2

48. x 3 49. 2x + 4x - 20 50. 4x - 5x + 10
2
2

Solve. See Example 11.
The distance in feet traveled by a free-falling object in t seconds is given by the polynomial
16t 2
Use this polynomial for Exercises 51 and 52.

51. Find the distance traveled by an object that falls for 52. It takes 8 seconds for a hard hat to fall from the top
6 seconds. of a building. How high is the building?

Copyright 2012 Pearson Education, Inc.
Office Supplies, Inc. manufactures office products.They determine that the total cost for manufacturing x file cabinets is
given by the polynomial

3000 + 20x
Use this polynomial for Exercises 53 and 54.

53. Find the total cost to manufacture 10 file cabinets. 54. Find the total cost to manufacture 100 file cabinets.