§ 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 + 2x2 – 5, 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 + 2x2 – 1,
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 + 3x2 – 1, 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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