Intermediate Algebra (11th edition)

65.Add. 66.Add. 67.Add.

3 p^2 + 7 p- 8

• 12 p^2 + 4 p- 1
  4 m+ 12

15 m- 9

• 9 p+ 4

21 p- 8

SECTION 5.2 Adding and Subtracting Polynomials 283

68.Add. 69.Subtract. 70.Subtract.

2 b- 8

• 3 b+ 6
  7 a- 3

12 a+ 15

9 y^3 + 4 y- 6

• 6 y^3 + 8 y+ 5

71.Subtract. 72.Subtract.

3 z^2 - 5 z+ 2

• 4 z^2 + 2 z- 1


• 8 m^2 + 2 m- 1

6 m^2 - 11 m+ 5

73.Add. 74.Add.

• 3 m^3 + 2 m^2 - 7 m

8 m^3 + 4 m^2 - 6 m

• 6 m^3 + 2 m^2 + 5 m


• 4 z^2 + 5 z- 9

5 z^2 + 16 z- 2

12 z^2 - 11 z+ 8

75.Add. 76.Add.

3 r^6 + 5

• 7 r^8 + 2 r^6 - r^5
  4 y^3 + 2 y^2 + 5 y

6 y^3 - 9 y^2 + 8

77.Subtract. 78.Subtract.

m^4 - m^3 + 2 m

• 2 m^3 + 8 m^2
  6 a^3 - a^2 + 2


• 5 a^4 + 8 a^2 - 9

The following problems are of mixed variety. Perform the indicated operations. See Exam-
ples 3–5.

79.Subtract from.

80.Subtract from.

86. 5 k- 15 k- 32 k- 14 k- 8 k 242 + 11 k- 19 k- 12 k 2
    
    
    • 33 z^2 + 5 z- 12 z^2 - 6 z 24 + 318 z^2 - 35 z-z^242 + 2 z^24
    
    
    
    

32 p- 13 p- 624 - 315 p- 18 - 9 p 22 + 4 p 4

3 - 1 y^4 - y^2 + 12 - 1 y^4 + 2 y^2 + 124 + 13 y^4 - 3 y^2 - 22

3 - 14 m^2 - 8 m+ 4 m^32 - 13 m^2 + 2 m+ 5 m^324 +m^2

1 - 4 m^2 + 3 n^2 - 5 n 2 - 313 m^2 - 5 n^2 + 2 n 2 + 1 - 3 m^22 + 4 n^24

• 1 - 4 x+ 2 z^2 + 3 m 2 312 z^2 - 3 x+m 2 + 1 z^2 - 2 m 24

4 y^2 - 2 y+ 3 7 y^2 - 6 y+ 5

Decide whether each relation is the graph of a function. Give its domain and range. See
Section 3.5.

Evaluate (a ) and (b) for each function. See Section 3.6.

90.ƒ 1 x 2 = 3 x+ 1 91.ƒ 1 x 2 =x^2 + 2 92.ƒ 1 x 2 =x^3 - 8

ƒ 1 - 12 ƒ 122

PREVIEW EXERCISES

x

y

(^0) x
y
(^0) x
y
0