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§ 3. Ìíîãî÷ëåíû íàä ÷èñëîâûìè ïîëÿìè
- 33. Íàéäèòå ðàöèîíàëüíûå êîðíè ìíîãî÷ëåíîâ.
33.01.
- f(x)
= õ4 + õ3 – 11õ2 – 5õ + 30,
- g(x) = 6õ4 + 19õ3
– 7õ2 – 26õ + 12;
33.02.
- f(x)
= õ4 – 3õ3 – 5õ2 + 6õ – 8,
- g(x) = 24õ4 – 42õ3
– 77õ2 + 56õ + 60;
33.03.
- f(x)
= õ4 – 2õ3 – 8õ2 + 13õ – 24,
- g(x) = 7õ3 – 5õ2
+ 7õ – 5;
33.04.
- f(x) = õ5 – 6õ4 + 16õ3 –
24õ2 + 20õ – 8,
- g(x) = 2õ3 + 3õ2 + 6õ – 4;
33.05.
- f(x)
= õ4 – õ3 – 9õ2 + 3õ + 18,
- g(x) = 4õ3 – 12õ2
+ õ + 2;
33.06.
- f(x)
= õ4 – 3õ3 + 4õ2 – 10õ – 88,
- g(x) = 3õ4 + 5õ3
+ õ2 + 5õ – 2;
33.07.
- f(x)
= õ4 – 2õ3 + õ2 – 3õ – 27,
- g(x) = 12õ5 – 41õ4
+ õ3 + 47õ2 – 4õ – 12;
33.08.
- f(x)
= õ4 – 4õ3 + 14õ – 2,
- g(x) = 4õ5 + 12õ4
+ õ3 + 6õ2 + 10õ + 3;
33.09.
- f(x) = õ5 – õ4 – 9õ3 –
9õ2 – 10õ – 8,
- g(x) = 3õ4 – 4õ3 – 7õ2
+ 4õ + 4;
33.10.
- f(x) = õ5 – 5õ4 – õ3 +
19õ2 – 2õ + 24,
- g(x) = 4õ5 + 10õ4 + 7õ3
+ 12õ2 – õ – 4;
33.11.
- f(x) = õ5 – 2õ4 + 2õ3 – 4õ2
– 9õ + 6,
- g(x) = 3õ5 – 2õ4 + õ3 + 2õ2 – 3õ
+ 4;
33.12.
- f(x) = õ5 + 3õ4 – õ3 – 3õ2
– 12õ – 36,
- g(x) = 12õ4 + 16õ3 – 89õ2 + 11õ + 14;
33.13.
- f(x) = õ5 + 3õ4 – 10õ3 +
õ2 + 3õ – 10,
- g(x) = 2õ5 + õ4 – 7õ3
– 5õ2 – 4õ + 4;
33.14.
- f(x) = õ5 + 2õ4 – õ – 2,
- g(x) = 6õ4 + 11õ3
+ 9õ2 + 11õ + 3;
33.15.
- f(x) = õ5 – õ4 – 7õ3 + 11õ2
+ 8õ + 12
- g(x) = 4õ5 + 2õ4 – 28õ3 + 11õ2
+ 13õ – 6;
33.16.
- f(x) = õ5 – 2õ4 – 2õ3 + 4õ2
– 8õ + 16,
- g(x) = 8õ4 + 2õ3 + 13õ2
+ 4õ – 6;
33.17.
- f(x) = õ5 – 2õ4 – 3õ3 + 6õ2
– 4õ + 8,
- g(x) = 6õ4 + õ3 + 5õ2 +
õ – 1;
33.18.
- f(x) = õ5 + 3õ4 – 9õ3 –
21õ2 – 10õ – 24,
- g(x) = 32õ5 + 128õ4 – 4õ3 – 16õ2
– õ – 4;
33.19.
- f(x) = õ5 + 4õ4 – 2õ3 –
14õ2 – 3õ – 18,
- g(x) = 16õ5 + 32õ4 – õ – 2;
33.20.
- f(x)
= õ5 – 3õ4 + 2õ3 – 2õ2 + 8,
- g(x) = 36õ4
– 6õ3 – õ – 1;
33.21.
- f(x) = õ5 + õ4 – 6õ3 +
3õ2 + 3õ – 18,
- g(x) = 4õ4 – 4õ3 + 17õ2
– 16õ + 4;
33.22.
- f(x) = õ5 – 3õ4 – 9õ3 +
21õ2 – 10õ + 24,
- g(x) = 4õ4 – 8õ3 + 7õ2 –
8õ + 3;
33.23.
- f(x) = õ5 – 4õ4 + 3õ3 +
2õ2 – 8õ + 6,
- g(x) = 10õ5 + 3õ4 – õ3
+ 20õ2 + 6õ – 2;
33.24.
- f(x) = õ5 – 3õ4 – 3õ3 + 9õ2
– 4õ + 12,
- g(x) = 8õ4 – 10õ3 + 11õ2
– 10õ + 3;
33.25.
- f(x) = õ5 + 4õ4 – õ3 – 14õ2
– 2õ + 12,
- g(x) = 6õ4 – õ3 + 5õ2 –
õ – 1;
33.26.
- f(x) = õ5 – õ4 – 7õ3 – 11õ2
– 8õ + 12,
- g(x) = 10õ4 – 3õ3 + 9õ2
– 3õ – 1;
33.27.
- f(x) = õ5 + 4õ4 – 2õ3 – 14õ2
– 3õ – 18,
- g(x) = 9õ4 + 12õ3 + 22õ2
+ 24õ + 8;
33.28.
- f(x) = õ4 + 3õ3 – 17õ2 +
3õ – 18,
- g(x) = 3õ5 – 18õ4 + 27õ3 + õ2 –
6õ + 9;
33.29.
- f(x) = õ5 – 5õ4 + õ3 –
5õ2 – 2õ + 10,
- g(x) = 24õ4 + 6õ3 + 5õ2 +
16õ – 8;
33.30.
- f(x) = õ4 – 6õ3 + 12õ2 –
18õ + 27,
- g(x) = 3õ5 + 9õ4 – 11õ3 – 33õ2
– 4õ – 12;
33.31.
- f(x) = 6õ5 – 12õ4 + 7õ3 –
14õ2 + 2õ – 4,
- g(x) = 4õ5 – 12õ4 + 9õ3
– 6õ2 + 5õ + 6;
33.32.
- f(x) = õ5 + 3õ4 – õ3 – 7õ2
+ 4,
- g(x) = 6õ5 – 11õ4 + 14õ3 – 29õ2
– 12õ + 12;
33.33.
- f(x) = õ5 – 8õ3 + 8õ2 – 9õ
+ 9,
- g(x) = 4õ5 + 12õ4 + õ3 + 6õ2 +
10õ + 3;
33.34.
- f(x) = õ5 – 5õ4 – 2õ3 + 26õ2
+ 31õ + 12,
- g(x) = 4õ5 – 3õ4 + 2õ3 –
õ2 + 4õ + 8;
33.35.
- f(x) = õ5 – 2õ4 – 3õ3 – 2õ2
– 10õ + 12,
- g(x) = 8õ5 + 12õ4 + 22õ3 + 33õ2
+ 6õ + 9;
33.36.
- f(x) = õ5 – 2õ4 – õ3 – 2õ2
– 20õ + 24,
- g(x) = 12õ5 + 4õ4 – 51õ3 – 17õ2
+ 12õ + 4.
\.Ïðèìåð.\
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