C H A P T E R 2 Polynomial and Rational Functions

45. fx 4x
(a) 1 4 0 13
4 4
4 4 9
3 13x 10
(b) 2 4
(c)
(d)
(b)
(c)
1
2
f 1 1
f 2 4
4
4
f 1 2 4
8 4
4
4
0
2
2
0
32
32
f 8 1954
1
3
3
3
2 3
3
(d) 5 3
3
5
1
6
h1 3 5
3
h2 17
0
8
8
13
1
12
5
6
1
5
15
10
h5 199
13
256
243
10
2
8
13
16
3
10
9
1
10
6
4
10
2
8
10
50
40
10
6
4
10
1944
1954
1
8
3
5
3
1
16
17
1
200
199
Section 2.3 Polynomial and Synthetic Division 173
46. gx x
(a) 2 1 0 4 0
2 4 0
1 2 0 0
6 4x 4 3x 2 2
(b)
(c) 3 1
(d)
g2 14
4 1
g4 3122
1
g3 434
1 1
1
1
g1 2
0
3
3
0
1
1
0
4
4
4
9
5
4
1
3
4
16
12
0
15
15
0
3
3
3
0
3
0
48
48
47. hx 3x
(a) 3 3 5 10 1
9 42 96
3 14 32 97
h3 97
3 5x2 10x 1 48. f x 0.4x
(a) 1 0.4 1.6 0.7 0 2
0.4 1.2 0.5 0.5
0.4 1.2 0.5 0.5 2.5
f 1 2.5
4 1.6x 3 0.7x 2 2
49. 2 1
1
0
2
2
7
4
3
Zeros: 2, 3, 1
6
6
0
x 3 7x 6 x 2x 2 2x 3
x 2x 3x 1
(b) 2 0.4
(c)
f 2 20
5 0.4
0.4
0.4
1.6
2.0
0.4
f 5 65.5
(d) 10 0.4
50. 4 1
1.6
0.8
2.4
0.4
f 10 5668
1
0
4
4
Zeros: 4, 2, 6
0.7
2.0
2.7
1.6
4.0
5.6
28
16
12
0.7
4.8
5.5
0
13.5
13.5
0.7
56.0
56.7
48
48
0
0
11
11
3
3
0
0
6
6
3
45
48
2
67.5
65.5
0
567
567
2
22
20
x 3 28x 48 x 4x 2 4x 12
x 4x 6x 2
3
192
195
0
144
144
0
0
0
2
12
14
2
5670
5668
0
780
780
2
0
2
2
432
434
2
3120
3122