§ 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.

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