§ 1. Ìíîãî÷ëåíû íàä îáëàñòüþ öåëîñòíîñòè
- ¹ 20. Âûäåëèâ êðàòíûå ìíîæèòåëè, ðàçëîæèòå ìíîãî÷ëåí
- f(x) íà íåïðèâîäèìûå ìíîæèòåëè íàä ïîëåì äåéñòâèòåëüíûõ
- ÷èñåë R, åñëè:
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20.01. f(x) = x4 – x3 – 6x2 + 4õ + 8; |
20.02. f(x) = õ5 – 5x4 + 7x3–2x2+4õ–8; |
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20.03. f(x) = x4 – x3 – 3x2 + õ + 2; |
20.04. f(x) = õ5 – 6x4
+ 13x3 – 14x2 + 12õ – 8; |
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20.05. f(x) = x4 + x3 – 3x2 – õ + 2; |
20.06. f(x) = x4 + 8x3 – x2 – 68õ – 84; |
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20.07. f(x) = x4 + x3 – 6x2 – 4õ + 8; |
20.08. f(x) = 2õ6 + 6õ5 + 6x4 + x3 – 3x2–3õ–1; |
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20.09. f(x) = x4 – 2x3 – 3x2 + 8õ – 4; |
20.10. f(x) = x4 – 2x3 + 3x2 – 4õ + 2; |
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20.11. f(x) = x4 – 2x3 – 4x2 + 2õ + 3; |
20.12. f(x) = õ5 + x4
– 5x3 – x2 + 8õ – 4; |
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20.13. f(x) = x4 + 2x3 – 4x2 – 2õ + 3; |
20.14. f(x) = õ5 – 10x3 – 20x2 – 15õ – 4; |
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20.15. f(x) = x4 + 2x3 – 3x2 – 8õ – 4; |
20.16. f(x) = õ5 – 8x4 + 25x3 – 38õ2 + 28õ – 8; |
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20.17. f(x) = x4 – 3x3 + x2 + 3õ – 2; |
20.18. f(x) = õ5 – 3x4 + 4x3 – 4õ2 + 3õ – 1; |
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20.19. f(x) = x4 – 3x3 – 5x2 + 3õ + 4; |
20.20. f(x) = õ5–7x4+19x3–25õ2+16õ–4; |
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20.21. f(x) = x4 – 3x3 – 3x2 + 7õ + 6; |
20.22. f(x) = x4 + 2x3 – 19õ2 – 68õ – 60; |
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20.23. f(x) = x4 + 3x3 – 5x2 – 3õ + 4; |
20.24. f(x) = x4 + 3x3 + õ2 – 3õ – 2; |
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20.25. f(x) = x4 + 3x3 – 3x2 – 7õ + 6; |
20.26. f(x) = x4 – 4x3 – 3õ2 + 10õ + 8; |
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20,27, f(x) = x4 + 3x3 + x2 – 3õ – 2; |
20.28. f(x) = õ5 + 5x4 + 3x3 – 13õ2 – 8õ + 12; |
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20.29. f(x) = x4 – 4x3 + 3x2 + 4õ – 4; |
20.30. f(x) = õ6 + 4õ5 + 5x4–5x2–4õ–1; |
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20.31. f(x) = x4 – 4x3 + 2x2 + 4õ – 3; |
20.32. f(x) = õ5 + 5x4 – 40x2 – 80õ – 48; |
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20.33. f(x) = x4 + 4x3 + 2x2 – 4õ – 3; |
20.34. f(x) = x4 – 5x3 + 3õ2 + 5õ – 4; |
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20.35. f(x) = x4 + 4x3 + 3x2 – 4õ – 4; |
20.36. f(x) = x4 + 5x3 + 3õ2 – 5õ – 4. |