Intermediate Algebra (11th edition)

47. 48.

49.Find the perimeter of the triangle.

5.3

50.Find each of the following for the polynomial function defined by

(a) (b)

51.Find each of the following for the polynomial functions defined by

and

(a) (b) (c) (d)

52.Find each of the following for the polynomial functions defined by

and

(a) (b) (c)

(d) (e) (f )

53.The number of twin births in the United
States during the years 1990 through 2006
can be modeled by the polynomial function
defined by

where corresponds to 1990,

corresponds to 1991, and so on. Use this

model to approximate the number of twin

births in each given year. (Source:National

Center for Health Statistics.)

(a) 1990 (b) 2000 (c) 2006

Graph each polynomial function defined as follows.

5.4 Find each product.

57. 58.

59. 60.

61. 62.

63. 64.

5.5 Divide.

65. 66.

67. 68.

5 p^4 + 15 p^3 - 33 p^2 - 9 p+ 18

5 p^2 - 3

2 p^3 + 9 p^2 + 27

2 p- 3

x^3 - 9 x^2 + 26 x- 30

x- 5

4 y^3 - 12 y^2 + 5 y

4 y

14 m+ 322 t 13 t+ 222

13 q^2 + 2 q- 421 q- 52 16 r^2 - 1216 r^2 + 12

13 w- 2 t 212 w- 3 t 2 12 p^2 + 6 p 215 p^2 - 42

• 6 k 12 k^2 + 72 13 m- 2215 m+ 12

ƒ 1 x 2 =- 2 x+ 5 ƒ 1 x 2 =x^2 - 6 ƒ 1 x 2 =-x^3 + 1

x= 0 x= 1

• 1576.7x+94,319,

ƒ 1 x 2 =-21.307x^3 +603.07x^2

1 gƒ 21 - 22 1 ƒg 21 x 2 1 gƒ 21 x 2

1 gƒ 2132 1 ƒg 2132 1 ƒg 21 - 22

ƒ 1 x 2 = 3 x^2 + 2 x- 1 g 1 x 2 = 5 x+7.

1 ƒ+g 21 x 2 1 ƒ-g 21 x 2 1 ƒ+g 21 - 12 1 ƒ-g 21 - 12

ƒ 1 x 2 = 2 x+ 3 g 1 x 2 = 5 x^2 - 3 x+2.

ƒ 1 - 22 ƒ 132

ƒ 1 x 2 =- 2 x^2 + 5 x+7.

14 a^3 - 9 a+ 152 - 1 - 2 a^3 + 4 a^2 + 7 a 2 13 y^2 + 2 y- 12 + 15 y^2 - 11 y+ 62

CHAPTER 5 Review Exercises 313

2 x^2 + 3x + 1

4 x^2 + 2^6 x^2 + 5x + 2