§ 3. Ìíîãî÷ëåíû íàä ÷èñëîâûìè ïîëÿìè
- ¹ 30. Íàéäèòå ãðàíèöû äåéñòâèòåëüíûõ
êîðíåé ìíîãî÷ëåíîâ:
- À)
ñ ïîìîùüþ ôîðìóë;
- Á)
ñ ïîìîùüþ ìåòîäà Íüþòîíà.
- Ñîïîñòàâüòå
ðåçóëüòàòû.
30.01.
f(x) = 2x4 – 2x3 + 4x2 – 6õ – 5;
30.02.
f(x) = 12õ5 – 15x4 + 30x2 – 60õ + 8;
30.03.
f(x) = õ5 – 5x4 + 10x2 – 5õ + 19;
30.04.
f(x) = 2õ5 – 10x4 – 20x2 – 10õ + 7;
30.05.
f(x) = x4 – 3x3 + 8x2 + 7õ – 6;
30.06.
f(x) = 2õ5 + 8x4 – 11x3 + 21õ2 + 12õ – 31;
30.07.
f(x) = 5x4 + 4x3 + 3x2 – 7õ – 8;
30.08.
f(x) = 3õ6 – 17õ5 – 12x4 + 22x3 + 19õ2 – 8õ – 7;
30.09.
f(x) = 5x6 – 4x4 + 10x3 – 3õ + 1;
30.10.
f(x) = 3õ6 – 5x4 + 4x3 – 8õ2 – 7õ + 4;
30.11.
f(x) = 2x4 + 3x3 – 5x2 + 6õ – 1;
30.12.
f(x) = x4 + 7x3 – 15x2 + 8õ – 3;
30.13.
f(x) = 2x4 – 8x3 + 8õ2 – 1;
30.14.
f(x) = 3x4 + 12x3 + 9õ2 – 1;
30.15.
f(x) = 4x4 – 12x2 + 8õ + 1;
30.16.
f(x) = õ5 + x4 – 4x3 – 3õ2 + 3õ + 1;
30.17.
f(x) = õ5 – 5x3 – 10x2 + 2;
30.18.
f(x) = õ5 + 5x4 + 10x2 – 5õ – 3;
30.19.
f(x) = x4 – 4x3 + 8õ2 – 12õ + 8;
30.20.
f(x) = x4 – 2x3 – 7õ2 + 8õ + 1;
30.21.
f(x) = 2x5 – 10x3 + 10õ – 3;
30.22.
f(x) = 16õ5 – 10x4 + 20x2 + 80õ + 99;
30.23.
f(x) = 5õ6 – 4x4 – 10x3 + 3õ + 1;
30.24.
f(x) = 3õ6 + 5x4 + 4x3 + 8õ2 – 7õ – 4;
30.25.
f(x) = 2x3 – 9x2 + 12õ – 8;
30.26.
f(x) = x4 + 4x3 – 8õ2 – 10õ + 14;
30.27.
f(x) = 3x4 + 12x3 – 9õ2 – 1;
30.28.
f(x) = 2x5 + 3x3 – 7õ + 12;
30.29.
f(x) = 3õ6 + 5x3 – 7x2 – 15õ + 20;
30.30.
f(x) = 2x5 – 10x3 + 10õ – 3;
30.31.
f(x) = 5x4 – 10x3 – 8õ2 + 21õ + 7;
30.32.
f(x) = 4x5 + 12x4 + õ3 + 6õ2 – 10õ + 3;
30.33.
f(x) = 2x6 – 8x3 + 15õ2 + 16õ – 7;
30.34.
f(x) = x5 + 7x4 + 16õ3 + 8õ2 – 16õ – 16;
30.35.
f(x) = x4 – 8x3 – 2õ2 + 16õ – 3;
30.36.
f(x) = 6x4 + 19x3 – 7õ2 – 26õ + 12.