§ 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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