Задание № 1. По образцу разобранного примера восстановить многочлен Лагранжа, удовлетворяющий приведенным исходным данным.
1.
-
| 0
| 1
| 2
| 3
|
| 0
| 1
| 2
| 5
|
| 2
| 3
| 12
| 147
|
2.
-
| 0
| 1
| 2
| 3
|
| -2
| 1
| 2
| 4
|
| 25
| -8
| -15
| -23
|
3.
-
| 0
| 1
| 2
| 3
| 4
|
| -2
| -1
| 0
| 1
| 2
|
| 6
| 0
| 2
| 0
| 6
| 4.
-
| 0
| 1
| 2
| 3
|
| 0
| 1
| 2
| 5
|
| 3
| 4
| 13
| 148
|
5.
-
| 0
| 1
| 2
| 3
|
| -2
| 1
| 2
| 4
|
| 26
| -7
| -14
| -22
|
6.
-
| 0
| 1
| 2
| 3
| 4
|
| -2
| -1
| 0
| 1
| 2
|
| 5
| 0
| 1
| 0
| 5
|
7.
-
| 0
| 1
| 2
| 3
|
| -1
| 0
| 1
| 4
|
| 2
| 3
| 12
| 147
|
8
-
| 0
| 1
| 2
| 3
|
| 1
| 2
| 3
| 6
|
| 2
| 3
| 12
| 147
|
9.
-
| 0
| 1
| 2
| 3
|
| -3
| 0
| 1
| 3
|
| 25
| -8
| -15
| -23
|
10.
-
| 0
| 1
| 2
| 3
|
| -1
| 2
| 3
| 5
|
| 25
| -8
| -15
| -23
|
11.
-
| 0
| 1
| 2
| 3
| 4
|
| -3
| -2
| -1
| 0
| 4
|
| 6
| 0
| 2
| 0
| 6
|
12.
-
| 0
| 1
| 2
| 3
| 4
|
| -1
| 0
| 1
| 2
| 3
|
| 6
| 0
| 2
| 0
| 6
|
13.
-
| 0
| 1
| 2
| 3
|
| 2
| 3
| 4
| 7
|
| 2
| 3
| 12
| 147
|
14.
-
| 0
| 1
| 2
| 3
|
| -2
| -1
| 0
| 3
|
| 2
| 3
| 12
| 147
| 15.
-
| 0
| 1
| 2
| 3
|
| -4
| -1
| 0
| 2
|
| 25
| -8
| -15
| -23
|
16.
-
| 0
| 1
| 2
| 3
|
| 0
| 3
| 4
| 6
|
| 25
| -8
| -15
| -23
|
17.
-
| 0
| 1
| 2
| 3
|
| -1
| 0
| 1
| 4
|
| 3
| 4
| 13
| 148
|
18.
-
| 0
| 1
| 2
| 3
|
| 1
| 2
| 4
| 6
|
| 1
| 2
| 34
| 146
|
19.
-
| 0
| 1
| 2
| 3
|
| -3
| 0
| 1
| 3
|
| 26
| -7
| -14
| -22
|
20.
-
| 0
| 1
| 2
| 3
|
| -1
| 2
| 3
| 5
|
| 26
| -7
| -14
| -22
|
21.
-
| 0
| 1
| 2
| 3
| 4
|
| -3
| -2
| -1
| 0
| 1
|
| 7
| 1
| 3
| 1
| 7
|
22.
-
| 0
| 1
| 2
| 3
| 4
|
| -1
| 0
| 1
| 2
| 3
|
| 5
| -1
| 1
| -1
| 5
|
23.
-
| 0
| 1
| 2
| 3
| 4
|
| -1
| 0
| 1
| 2
| 3
|
| 2
| 1
| 0
| 1
| 10
|
24.
-
| 0
| 1
| 2
| 3
|
| -2
| -1
| 0
| 1
|
| 1
| 6
| 5
| 4
|
25.
-
| 0
| 1
| 2
| 3
|
| -3
| -2
| -1
| 0
|
| 40
| 27
| 12
| 1
|
26.
-
| 0
| 1
| 2
| 3
| 4
|
| -2
| -1
| 0
| 1
| 2
|
| -27
| -4
| -1
| -6
| -7
|
27.
-
| 0
| 1
| 2
| 3
|
| -1
| 0
| 1
| 2
|
| -5
| -10
| -1
| 34
|
28.
-
| 0
| 1
| 2
| 3
| 4
|
| -2
| -1
| 0
| 1
| 2
|
| 16
| -1
| 0
| 1
| 8
|
29.
-
| 0
| 1
| 2
| 3
| 4
|
| -2
| -1
| 0
| 1
| 2
|
| -23
| -6
| 1
| -2
| 9
|
30.
-
| 0
| 1
| 2
| 3
|
| 1
| 2
| 3
| 4
|
| 1
| 2
| 13
| 40
|
|