§ 2. Òåîðèÿ äåëèìîñòè ìíîãî÷ëåíîâ

                 ¹ 18. Ïðè ïîìîùè ìåòîäà íåîïðåäåëåííûõ êîýôôèöèåíòî
âíàéäèòå ìíîãî÷ëåíû U(x) è V(x) òàêèå, ÷òî
f(x) × U(x) + g(x)×V(x) = 1.

 

18.01.

f(x) = x2 + 3x – 3,
g(x) = õ2 – 3õ + 1;

18.02.

f(x) = 2x2 – 2x – 5,
g(x) = x2 – õ – 1;

18.03.

f(x) = x2 – 5x + 4,
g(x) = 4õ2 – 3õ – 2;

18.04.

f(x) = 4x2 + x + 2,
g(x) = 2x2 + 3õ – 2;

 

18.05.

f(x) = x2 – x + 3,
g(x) = 2õ2 – 3õ – 3;

18.06.

f(x) = 2x2 + 3x + 2,
g(x) = x2 – 3õ + 4;

 

18.07.

f(x) = 2x2 + 3x – 4,
g(x) = 4õ2 – 5õ – 4;

18.08.

f(x) = 3x2 + 2,
g(x) = x2 – 5õ + 1;

 

18.09.

f(x) = 4x2 + 1,
g(x) = 3õ2 – 3õ;

18.10.

f(x) = 4x2 + 4x + 1,
g(x) = 3x2 – 3õ – 3;

 

18.11.

f(x) = 4x2 – 2x + 2,
g(x) = 3õ2 – 5õ + 4;

18.12.

f(x) = 4x2 – 4x + 4,
g(x) = 3x2 – 4õ + 2;

18.13.

f(x) = 3x2 + x – 5, g(x) = 4õ2 – 3õ + 14;

18.14.

f(x) = 2x2 – 4x,
g(x) = 4x2 – 3õ + 4;

18.15.

f(x) = x2 – 3x,
g(x) = õ2 – 4õ – 1;

18.16.

f(x) = 2x2 + x + 2,
g(x) = x2 + 2õ – 5;

18.17.

f(x) = x2 – 4x + 3,
g(x) = õ2 + 2õ – 2;

18.18.

f(x) = 3x2 + 2x – 2,
g(x) = 2x2 – õ + 3;

18.19.

f(x) = 4x2 – 5x – 5,
g(x) = õ2 – 5õ – 4;

18.20.

f(x) = 3x2 – 2,
g(x) = x2 – 3õ + 3;

18.21.

f(x) = x2 – 4x – 1,
g(x) = õ2 – 2õ + 2;

18.22.

f(x) = 3x2 – 4,
g(x) = x2 – 4õ + 1;

18.23.

f(x) = 2x2 – 2x + 1,
g(x) = 3õ2 + 2õ;

18.24.

f(x) = 2x2 + 2x – 1,
g(x) = 2x2 – 4õ + 5;

18.25.

f(x) = 3x2 + 5,
g(x) = 2õ2 + 3õ + 1;

18.26.

f(x) = x2 + 6x + 1,
g(x) = 3x2 + 4;

18.27.

f(x) = 2x2 + 5x – 3,
g(x) = 2õ2 – 4õ + 2;

18.28.

f(x) = 3x2 + 6x + 5,
g(x) = x2 + 4;

18.29.

f(x) = x2 – x + 3,
g(x) = 2õ2 + 3õ;

18.30.

f(x) = x2 + 4x + 7,
g(x) = 2x2 – 5x;

 

18.31.

f(x) = 3x2 + x + 1,
g(x) = 4õ2 – õ + 2;

18.32.

f(x) = 3x2 – x – 2,
g(x) = x2 + 3x + 1;

 

18.33.

f(x) = x2 – 5x + 9,
g(x) = 2õ2 + 7;

18.34.

f(x) = 4x2 – x + 3,
g(x) = 3x2 + x – 3;

 

18.35.

f(x) = 4x2 + 2x + 1,
g(x) = õ2 + 4x + 2;

18.36.

f(x) = 3x2 – 3x + 4,
g(x) = 2x2 + 5.

 

 

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