§ 1. Ìíîãî÷ëåíû íàä îáëàñòüþ öåëîñòíîñòè

     ¹ 8. Ðàçëîæèòå ìíîãî÷ëåí f(x) ïî ñòåïåíÿì äâó÷ëåíà  g(x) = õ – ñ,
åñëè:
 
8.01.

f(x) = 3õ6 – 2x5 + 5x4 – 27x3 + 2x25, g(x) = x – 2;

8.02.

f(x) = 3õ6 – 18x5 + 43x4 – 53x3 + 35x2 – 10õ + 2, g(x) = x – 1;

8.03.

f(x) = õ6 – ix5 + 2x4 + 3ix3 – x2 + 2ix + 1 + i, g(x) = x + i;

8.04.

f(x) = 2õ6 – x5 + 2x3 – x2 + x + 1, g(x) = x – 2;

8.05.

f(x) = 2õ6 – x5 + 3x4 – 4x3 + x2 – 2x + 1, g(x) = x – 3;

8.06.

f(x) = õ6 + 2x5 – 12x4 + 30x3 – 80x – 10, g(x) = x – 3;

8.07.

f(x) = õ6 – 7x5 – 8x4 + 450x2 + 2500x – 12000, g(x) = x – 5;

8.08.

f(x) = 2õ7 – ix4 + 3x2 + (3 – i)x + 6, g(x) = x – 2i;

8.09.

f(x) = 2õ5 – x4 + 3x2 – x + 6, g(x) = x – 1;

8. 10.  

f(x) = 2õ5 + 7x4 – 8x2 + 3x – 5, g(x) = x + 2;

8.11.

f(x) = 3õ6 – 2x5 + x4 + 2, g(x) = x + 1;

8.12.

f(x) = õ5 – 9x4 + 28x3 – 36x2 + 27x – 27, g(x) = x – 3;

8.13.

f(x) = 2õ5 – 7x3 + x2 + 2x – 5, g(x) = x + 2;

8.14.

f(x) = 2õ6 – 7x5 + ix3 + (1 + i)x2 + 4x – 4i, g(x) = x + 2i;

8.15.

f(x) = õ5 – 2x4 + 3x2 – 4x + 2, g(x) = x – 3i;

8.16.

f(x) = 4õ6 – x5 + 2x4 – 3x2 + 6, g(x) = x + 4;

8.17.

f(x) = x5 + 2x4 – x3 + 2x21, g(x) = x – 2;

8.18.

f(x) = x5 + 4x4 + 7x3 + 7x2 + 4x + 1, g(x) = x – 1;

8.19.

f(x) = 2õ5 – 9x4 + 29x3 – 56x2 + 63x – 30, g(x) = x – 3;

8.20.

f(x) = 2x5 + x4 – 2x3 – x2 + x + 2, g(x) = x – 2;

8.21.

f(x) = õ6 – x5 + 2x4 – x3 – x – 4, g(x) = x – i;

8.22.

f(x) = 2õ6 + x5 – x4 – 3x2 + 5, g(x) = x + i;

8.23.

f(x) = 3õ5 + x4 – x3 + 2x2 – x + 1, g(x) = x – 2;

8.24.

f(x) = –õ5 – 3x4 + x3 + 2x2 + 4x – 2, g(x) = x – 1;

8.25.

f(x) = 2õ5 – x4 – 3x3 + x – 3, g(x) = x – 1;

8.26.

f(x) = õ6 – 2x4 + x3 + 4x2 – 8x + 4, g(x) = x – i;

8.27.

f(x) = 2x5 – 2x4 + x3 + 3x21, g(x) = x + 3;

8.28.

f(x) = x5 – 4x4 + 3x2 – x + 15, g(x) = x – 2;

8.29.

f(x) = 2x5 – x4 + 3x3 – 10x – 10, g(x) = x – 4;

8. 30. 

f(x) = 2x5 – 3x3 – x2 – ix + 3, g(x) = x – 2i;

8.31.

f(x) = õ6 – 2x5 + ix4 + 3x3 – 2x – 4, g(x) = x + 2i;

8.32.

f(x) = 2õ6 – 3x4 – 2x3 + 4x2 – 3x – 6, g(x) = x + 4;

8.33.

f(x) = 3õ5 – 2x3 – 3x2 + 4x + 3, g(x) = x + 5;

8.34.

f(x) = õ6 – (1 + i)x5 + 3x4 – ix3 + 2x2 – 3x – 1, g(x) = x + 3i;

8.35.

f(x) = õ6 – 3x5 + 2x3 – 4x2 + 3x – 5, g(x) = x – 3;

8.36.

f(x) = 2õ6 – ix4 + 3x3 + (1 – i)x2 + 2x – 3, g(x) = x – 3i.

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