§ 2. Òåîðèÿ äåëèìîñòè ìíîãî÷ëåíîâ

                       ¹ 16. Íàéäèòå ÍÎÄ ìíîãî÷ëåíîâ f(x) è g(x) ñ ïîìîùüþàëãîðèòìà
Åâêëèäà.
16.01.
f(x) = õ6 – 2x3 – 4x2 – 8x – 3,
 
g(x) = 3õ4 – 4õ3 + 8õ2 – 5õ – 4;
16.02.
f(x) = õ7 + 3õ6 – 11x5 + 15x2 + 2x + 10,
 
g(x) = õ6 + 5õ5 – õ4 – 3õ3–10õ2–õ–5;
16.03.
f(x) = –12õ5+28õ4 –17x3–27x2+22x–4,
 
g(x) = – 6õ2 + 5õ – 1;
16.04.
f(x) =  14x6 – 24x5 + 38x4 + 15x3 – 123x2 + 56x + 10,
g(x) = 14x4 – 24x3 + 66õ2 – 33õ – 5;
16.05.
f(x) = 3õ5 + 4õ4 – 4x3 – 6x2 + x + 2,
g(x) = 3x4 + 7x3 – 7õ – 3;
16.06.
f(x) = 2õ5+21õ4+51x3–41x2–47x+26,
g(x) = 2x4 + 23x3 + 72õ2 + 20õ – 31;
16.07.
f(x) = 3õ5 + 3õ4 – 3x3 – 6x – 3,
g(x) = 3x4 + 2x3 + õ2 + 2õ – 2;
16.08.
f(x) = 3õ6 – 21õ4 + 24x3 – 21x + 21,
g(x) = 3x5 – 7x3 + 3õ2 – 7;
16.09.
f(x) = 3õ5 + 5õ4 +6x3+6x2+2õ+1,
g(x) = x3 + õ2 + õ + 1;
16.10.
f(x) = –4õ4 + õ3 + x2 + 15x – 13,
g(x) = 2x4 – 7x + 5;
16.11.
f(x) = –10õ4 – õ3–10x2+14x+7,
g(x) = –2x4 – 2õ2 + 3õ + 1;
16.12.
f(x) = õ4 + õ3 – 3x2 + 2x – 1,
g(x) = x3 – 3x2 + 5õ – 3;
16.13.
f(x)=4õ5+2õ4 +4x3+11x2–4õ+3,
g(x) = 4x4 + 2õ3 + 9õ;
16.14.
f(x) = õ5 + 2õ4 – 4x3–x2+6õ–4,
g(x) = x4 + 3õ3 – õ2 – 3õ + 2;
16.15.
f(x) =  x5 – 4x4 – 31x3 + 125x2 – 100x + 384,
g(x) =
16.16.
f(x) = 3õ5 + 4õ4 – 4x3–6x2+õ+2,
g(x) = 3x4 + 7õ3 – 7õ – 3;
16.17.
f(x) = 2õ5 + x3 +2x2–6õ–3,
g(x) = 2x4 – 2õ3 – õ2 + 3õ – 3;
 
16.18.
f(x) =  2x6 + 2x5 + 2x4 + 7x3 + 2x2 + 4x + 5,
g(x) = 2õ5 + 2x4 + 4x3 + 5õ2 + 2;
 
16.19.
f(x) = õ5 – 2õ4 + x3 + õ – 1,
g(x) = x4 – 2õ3 + õ2 – õ + 1;
16.20.
f(x) = 2õ5 – 4õ4 –4x3–õ2+õ–1,
g(x) = x4 – 3õ3 + õ2 – õ – 2;
16.21.
f(x) = õ5 – 3õ4 + 3x3–x2–2õ+2,
g(x) = x4 + 2õ3 – 3õ2 – õ + 1;
16.22.
f(x) = 4õ5 + õ4 –3x3+2x2–6õ+5,
g(x) = 4x4 + õ3 + 10õ;
16.23.
f(x)=õ5 – 7õ4 +19x3–25x2+16õ–4,
g(x) = x4 – 3õ3 + 3õ2 – õ;
16.24.
f(x) = 3õ5 + 2õ4 +4x3–x2–4õ+8,
g(x) = x4 – õ3 + 2õ2 – 2õ – 4;
16.25
f(x) =  2x5 + 3x4 – 13x3 –10x2+21x+6,
g(x) = 2õ4 + 5x3 – 8x2 – 19õ + 2;
16.26.
f(x) =  x5 + 3x4+2x3+6x2,
g(x) = õ4 + 2x3 – 3x2 + 4õ;
16.27.
f(x) = 12x5 – 34x4 – 15x3 + 16x2 – 5x – 5,
g(x) = 12õ4 – 22x3 + 19x2 + õ + 7;
16.28.
f(x) =  x5 – 8x4 +2x3–5x2+3x–1,
g(x) = õ4 – 2x3 + 4x2 – õ + 2;
16.29.
f(x) =  x5 + 5x4 + 3x3 – 9x2,
g(x) = õ4 + 3x3 + 3x2 + 9õ;
16.30.
f(x) =  4x5–6x4+10x3–7x2+2x–3,
g(x) = 2õ4 – 3x3 + 4x2 – 2õ – 1;
16.31.
f(x) =  x5 + x4 – 3x3 + 9x2,
g(x) = õ4 + 2x3 – 8;
16.32.
f(x) = 2õ6 + 3x5 – 12x4 + 22x3 – 9x2 – 11x – 5,
g(x) = 2õ4 + 5x3 – 11x2 – õ + 5;
16.33.
f(x) = õ6 – 7x5 + x4 – 2x3 – 35x2 + 5x – 35,
g(x) = õ4 – 7x2 + õ – 7;
16.34.
f(x) = õ6 + 3x5 + 3x4 + 7x3 + 3x2 + 4x + 1,
g(x) = õ4 + 3x3 + 2õ2 + 4õ + 1;
16.35.
f(x) = õ6 – 4x5 + 14x4 – 38x3 + 49x2 – 75x + 25,
g(x) = õ4 – 4x3 + 7õ2 – 11õ + 5;
16.36.
f(x) = –2õ6 + 4x5 + 9x4 – 19x3 – 6x2 + 15x + 2,
g(x) = –2õ4 + 4x3 + 5õ2 – 9õ – 2.

 

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