§ 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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