§ 1. Ìíîãî÷ëåíû íàä îáëàñòüþ öåëîñòíîñòè

     ¹ 7. Ñ ïîìîùüþ ñõåìû Ãîðíåðà óñòàíîâèòå êðàòíîñòü
êîðíÿ õ0 = ñ ìíîãî÷ëåíà f(x).

7.01.

 f(x) = x52x4 + 4x3 – 28x2 + 48x – 16, x0 = 2;

7.02.

 f(x) = x4 – 2x3 + 5x2 – 28x + 36, x0 = 2;

7.03.

 f(x) = x53x4 – x3 + 11x2 – 12x + 4, x0 = 1;

7.04.

 f(x) = x5 – 6x4 + 13x3 – 14x2 + 12x – 8, x0 = 2;

7.05.

 f(x) = x4 + 8x3 – x2 – 68x – 84, x0 = –2;

7.06.

 f(x) = x5 – 6x4 + 13x3 – 14x2 + 12x – 8, x0 = 2;

7.07.

 f(x) = x4 2x3 + 2x2 – 2x + 1, x0 = 1;

7.08.

 f(x) = x5 – 6x4 + 11x3 – 2x2 – 12x + 8, x0 = 2;

7.09.

 f(x) = x58x4 + 21x3 – 27x2 + 54x – 81, x0 = 3;

7. 10.

 f(x) = x5 – 6x4 + 13x3 – 14x2 + 12x – 8, x0 = 2;

7.11.

 f(x) = x6 – 4x5 – 8x4 + 62x2 + 96x – 72, x0 = 2;

7.12.

 f(x) = x5 + 4x4 + 7x3 + 7x2 + 4x + 1, x0 = –1;

7.13.

 f(x) = 2x5 – 4x4 + x3 + x2 – 1, x0 = 1;

7.14.

 f(x) = 3x6 – 19x5 + 33x4 + 23x3 – 130x2 – 132x – 40, x0 = 2;

7.15.

 f(x) = x6 + 6x5 – 21x4 + 7x3 – x2 + 8 , x0 = 2;

7.16.

 f(x) = x6 – 6x5 + 12x4 – 5x3 – 18x2 + 36x – 24, x0 = 2;

7.17.

 f(x) = 3x6 – 5x5 + 3x4 – 7x3 + 2x2 + 10x – 6, x0 = 1;

7.18.

 f(x) = –x6 + 6x5 – 12x4 + 5x3 + 18x2 – 36x + 24, x0 = 2;

7.19.

 f(x) = x6 – 9x5 + 27x4 – 39x3 + 108x2 – 32x + 324, x0 = 3;

7.20.

 f(x) = x6 – 5x5 + 5x4 + 6x3 + 4x2 – 40x + 32, x0 = 2;

7.21.

 f(x) = 2x6 – 20x5 + 66x4 – 67x3 + 9x2 – 189x + 351, x0 = 3;

7.22.

 f(x) = x5 – 17x4 + 94x3 – 190x2 + 161x – 49, x0 = 1;

7.23.

 f(x) = x6 – 2x5 + 3x4 – 5x3 – 12x2 + 2x – 1, x0 = 2;

7.24.

 f(x) = x6 – 6x5 + 12x4 – 5x3 – 18x2 + 36x – 24, x0 = 2;

7.25.

 f(x) = –3x6 + 4x5 + 3x4 + x3 + 2x2 – 4x + 8, x0 = 2;

7.26.

 f(x) = x6 – 14x5 + 72x4 – 188x3 + 464x2 – 1344x + 1792, x0 = 4;

7.27.

 f(x) = x6 + 3x5 + 3x4 – x3 – 6x2 – 6x – 2, x0 = –1;

7.28.

 f(x) = x5 – 3x4 + 4x3 – 4x2 + 3x – 1, x0 = 1;

7.29.

 f(x) = –x5 + 2x4 – 3x3 + x2 + 4x – 3, x0 = 1;

7.30.

 f(x) = 2x5 – 6x4 + 7x3 – 5x2 + 3x – 1, x0 = 1;

7.31.

 f(x) = x6 – 2x4 + x3 – 4x2 – 8x + 4, x0 = 1;

7.32.

 f(x) = x5 – 12x4 + 49x3 – 76x2 + 48x – 64, x0 = 4;

7.33.

 f(x) = x5 – 6x4 + 11x3 – 2x2 – 12x + 8, x0 = 2;

7.34.

 f(x) = 4x5 + 12x4 + x3 + 6x2 + 10x + 3, ;

7.35.

 f(x) = 3x5 – 18x4 + 41x3 – 54x2 + 60x – 40, x0 = 2;

7.36.

 f(x) = x5 – 6x4 + 13x3 – 14x2 + 12x – 8, x0 = 2.

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