§ 1. Ìíîãî÷ëåíû íàä îáëàñòüþ öåëîñòíîñòè
¹ 6. Ïðîâåðüòå, ÿâëÿåòñÿ ëè ÷èñëî õ0
= ñ êîðíåì ìíîãî÷ëåíà f(x).
6.01.
f(x) = 2õ6
– 4x5 – 3x3 – 4x2 + 2x +
2, x0 = 4;
6.02.
f(x) = 3õ6
– 8x5 – 7x3 + 4x2 + 3x + 6, x0 = 3;
6.03.
f(x) = 3õ5
– 2x4 + x3 – x2 + x – 585, x0 = 3;
6.04.
f(x) = 2õ6
– x5 + 3x4 – 2x3 – x2 + 3õ +
42, x0 = –4;
6.05.
f(x) = 3õ6
– 4x5 + 5x3 + x –
4, x0 = 2;
6.06.
f(x) = 2õ5 – x4 + ix3 + (3 – 2i)x2 +
6 + 4i, x0 = 2i;
6.07.
f(x) = 3õ5
+ x4 – 2x2 + x – 106, x0 = 2;
6.08.
f(x) = 2õ6
– 22x5 + 87x4 – 133x3 + 9x2 + 135x – 54, x0 = 3;
6.09.
f(x) = 2õ6
– 3x5 + x4 – 2x3 + 4x2 – 8x + 6, x0 = 1;
6. 10.
f(x) = õ6
– 4x5 – 2x4 + 2x3 + 8x – 5, x0 = 1;
6.11.
f(x) = 5õ6 – 7x5 – 6x4 +
x3 – 3x2 +
3x – 2, x0 = 2;
6.12.
f(x) = 3õ6 – 2x5 + 8x4 – 2x3 + 2x2 – 7x + 6, x0 = 1;
6.13.
f(x) = õ6
– 2x5 – 15x4 +
18x3 +
46x2
– 27x + 12, x0 = 4;
6.14.
f(x) = õ6
– 2x5 – 6x4 +
16x3 – 3x2 – 4x – 2, x0 = 2;
6.15.
f(x) = õ6
– 5x5 + 10x4 – 4x3 + 14x2 + 28x – 20, x0 = 2;
6.16.
f(x) = õ6
– 5x5 + 3x4 – 2x3 +
4x2
+ x + 46, x0 = 2;
6.17.
f(x) = õ6
– 5x5 + 6x4 + 2x3 – 7x2 – 6x – 9, x0 = 3;
6.18.
f(x) = 2õ6 + 3x5 – 11x4 –
11x3 + 19x2 – 12x – 12, x0 = 2;
6.19.
f(x) = õ6
– 2x5 + 3x3 – 12x2 + 2x – 1, x0 = 2;
6.20.
f(x) = –õ6
+ 2x5 – 2x4 + 3x3 + 8x2 – 11x + 2, x0 = 2;
6.21.
f(x) = –õ6
+ 4x5 – 2x4 – 5x3 + 8x2 – 11x + 15, x0 = 3;
6.22.
f(x) = õ6
– 14x5 + 72x4 – 188x3 + 464x2 – 1344x + 1792, x0 = 4;
6.23.
f(x) = õ6
+ 3x5 – 2x3 – 6x2 + 3x +
9, x0 = –3;
6.24.
f(x) = õ6
+ 2x5 + x4 + 3x3 – x2 + x – 166, x0 = 2;
6.25.
f(x) = 2x5 + 3x4 +
x3 – 2x2 – 3x – 1, x0 = –1;
6.26.
f(x) = x5 – 2x4 + 3x3 – 6x2 + 2x –
4, x0 = 2;
6.27.
f(x) = 2x5 – 4x4
+ x3 – 2x2 – x – 2, x0 = 2;
6.28.
f(x) = x5 – 3x4 – 2x3 + 6x2 – x + 3, x0 = 3;
6.29.
f(x) = õ6
– 2x5 + 3x3 – x2 – 5x – 300, x0 = 3;
6.30.
f(x) = 6x4 +
19x3 – 7x2 – 26x + 12, x0 = –3;
6.31.
f(x) = 2x5 + x4 – 11x3 + 7x2 –
13x + 6, x0 = 2;
6.32.
f(x) = 2x5 + x4
– x3 + 4x2 – 10x + 4, x0 = –2;
6.33.
f(x) = 2x5 – 5x4
– 10x3 – 2x2 – 28x + 16, x0 = 4;
6.34.
f(x) = 3x5 – x4 – 24x3 + 8x2 – 27x + 9, x0 = –3;
6.35.
f(x) = 5x5 – x4
– 25x3 + 5x2 + 20x – 4, x0 = –2;
6.36.
f(x) = 2x5 + x4
– 10x3 – 5x2 + 8x + 4, x0 = 1.
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