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§ 3. Ìíîãî÷ëåíû íàä ÷èñëîâûìè ïîëÿìè
- ¹ 29. Äàí ìíîãî÷ëåí f(x) ñäåéñòâèòåëüíûìè êîýôôèöèåíòàìè.
- Çíàÿ, ÷òî a - êîðåíü ìíîãî÷ëåíà f(x), íàéäèòå îñòàëüíûå åãî êîðíè.
- 29.01.
- f(x) = x4 – x3 – 2õ2
+ 6õ – 4,a = 1 – i;
- 29.02.
- f(x) = x3 – 4õ2 + 9õ – 10,a = 1 – 2i;
- 29.03.
- f(x) = x4 +x3 +13õ2 + 47õ + 34,a = 1 + 4i;
- 29.04.
- f(x) = x3 – 2õ2 – 3õ + 10,a = 2 + i;
- 29.05.
- f(x) = x4 – 2x3 – 11õ2 + 42õ – 40,a = 2 – i;
- 29.06.
- f(x) = x3 – 4õ2 + 6õ – 4,a = 1 – i;
- 29.07.
- f(x) = x4 – 6x3 + 13õ2 – 14õ + 6,a = 1 + i;
- 29.08.
- f(x) = x3 – 7õ2 + 17õ – 15,a = 2 – i;
- 29.09.
- f(x) = x4 – 7x3 + 19õ2 – 23õ + 10,a = 2 – i;
- 29.10.
- f f(x) = õ4 – 3x3 + 10õ2 – 6õ – 20,a = 1 + 3i;
- 29.11.
- f(x) = x3 – 7õ2 + 17õ – 15,a = 2 – i;
- 29.12.
- f(x) = x3 – 7õ2
+ 16õ – 10,a = 3 + i;
- 29.13.
- f(x) = x4 – 13x3 + 58õ2 – 98õ + 52,a = 5 – i;
- 29.14.
- f(x) = x3 – 8õ2
+ 22õ – 20,a = 3 + i;
- 29.15.
- f(x) = x3 – 16õ2 + 53õ – 60,a = 2 – i;
- 29.16.
- f(x) = x3 – 3õ2
+ 7õ – 5,a = 1 + 2i;
- 29.17.
- f(x) = x4 – 2x3 – 11õ2 + 42õ – 40,a = 2 – i;
- 29.18.
- f(x) = õ4 – 9x3 + 22õ2 + 28õ – 120,a = 4 + 2i;
- 29.19.
- f(x) = x4 – 6x3 + 13õ2 – 14õ + 6,a = 1 + i;
- 29.20.
- f(x) = x4 – 3x3 + 3õ2 + 37õ – 78,a = 2 – 3i;
- 29.21.
- f(x) = x4 – 11x3 + 9õ2 + 245õ – 100,a = 4 + 3i;
- 29.22.
- f(x) = x4 – 7x3 + 7õ2 + 59õ – 156,a = 3 + 2i;
- 29.23.
- f(x) = x4 – 8x3 + 20õ2 – 45õ + 75,a = 1 + 2i;
- 29.24.
- f(x) = x4 – 7x3 + 7õ2 – 364,a = 2 – 3i;
- 29.25.
- f(x) = x4 – 5x3 + 5õ2 + 35õ – 156,a = 2 + 3i;
- 29.26.
- f(x) = x4 – 6x3 – 12õ2 + 150õ – 325,a = 3 + 2i;
- 29.27.
- f(x) = x4 – 8x3 + 20õ2 – 40õ + 75,a = 1 – 2i;
- 29.28.
- f(x) = x4 – 6x3 – 3õ2 + 86õ – 208,a = 3 + 2i;
- 29.29.
- f(x) = x3 – 7õ2 + 17õ – 15,a = 2 – i;
- 29.30.
- f(x) = x4 + 3x3 – 21õ2 – 3õ + 260,a = 3 – 2i;
- 29.31.
- f(x) = x4 + 15x3 + 31õ2 – 45õ + 22,a = 3 – 2i;
- 29.32.
- f(x) = x4 – 4x3 – 2õ2 + 44õ – 39,a = 3 – 2i;
- 29.33.
- f(x) = x4 – 7x3 – 3õ2 + 73õ – 364,a = 2 + 3i;
- 29.34.
- f(x) = x4 – 3x3 + 17õ2 – 13õ – 34,a = 1 – 4i;
- 29.35.
- f(x) = x4 – 9x3 + 33õ2 – 51õ + 26,a = 2 + 3i;
- 29.36.
- f(x) = x4 – 17x3 + 109õ2 – 323õ + 390,a = 3 – 2i.
\.Ïðèìåð.\
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