§ 1. Ìíîãî÷ëåíû íàä îáëàñòüþ öåëîñòíîñòè

                 ¹ 22. Èçâåñòíû ìíîãî÷ëåíû f(x) è (f(x); f ¢(x) ) = d(x).
Íàéäèòå êàíîíè÷åñêîå ðàçëîæåíèå ìíîãî÷ëåíà f(x).
22.01.
f(x) = x4 – 3x3 – 6x2 + 28õ – 24;
 
d(x) = (õ – 2)2;
22.02.
f(x) = x4 + 3x3 – 6x2 – 28õ – 24;
 
d(x) = (õ + 2)2;
22.03.
f(x) = x4 + x3 – 3x2 – 5õ – 2;
 
d(x) = (õ + 1)2;
22.04.
f(x) = x4 – 3x3 – 6x2 + 28õ – 24;
 
d(x) = (õ – 2)2;
22.05.
f(x) = x4 – 4x3 – 4x2 + 4õ + 4;
 
d(x) = õ2 – 2;
22.06.
f(x) = x4 – 3x3 – 6x2 + 44õ + 24;
 
d(x) = (õ – 2)2;
22.07.
f(x) = x5 – 3x4 + 5x3 – 7õ2 + 6õ – 2;
 
d(x) = (õ – 1)2;
22.08.
f(x) = x4 + 5x3 + 9x2 + 7õ + 2;
 
d(x) = (õ + 1)2;
22.09.
f(x) = 4x5 + 28x4 + 73x3 + 86õ2 + 44õ + 8;
 
d(x) = (õ + 2)2;
22.10.
f(x) = x5 – 6x4 + 13x3 – 14õ2 + 12õ – 8;
 
d(x) = (õ – 2)2;
22.11.
f(x) = x5 – 3x3 + 82x2 + 168õ – 72;
 
d(x) = (õ – 2)2;
22.12.
f(x) = x5 + 14x3 – 18x2 + 9õ – 2;
 
d(x) = (õ – 1)2;
22.13.
f(x) = x4 + 8x3 + 24õ2 + 32õ + 164;
 
d(x) = (õ + 2)2;
22.14.
f(x) = x4 + 8x3 + 18x2 + 16õ + 5;
 
d(x) = (õ + 1)2;
22.15.
f(x) = x5 – 3x4 – x3 – 5õ2 – 6õ + 2;
 
d(x) = (õ – 1)2;
22.16.
f(x) = x5 – 6x4 + 13x3 – 14õ2 + 12õ – 84;
 
d(x) = (õ – 2)2;
22.17.
f(x) = x4 – 6x3 + 12x2 – 10õ + 3;
 
d(x) = (õ – 1)2;
22.18.
f(x) = x5 + 4x4 – 3õ3 + 14õ2 + 2õ + 24;
 
d(x) = (õ + 2)2;
22.19.
f(x) = x4 – 5x3 – 12x2 + 2õ + 8;
 
d(x) = (õ – 2)2;
22.20.
f(x) = x5 – 7x4 + 64õ3 + 180õ2 + 135õ + 27;
 
d(x) = (õ – 3)2;
22.21.
f(x) = x4 – 11x3 + 42x2 – 68õ + 40;
 
d(x) = (õ – 2)2;
22.22.
f(x) = õ5 + 9x4 + 30x3 + 46x2 + 33õ + 9;
 
d(x) = (õ + 1)2;
22.23.
f(x) = õ5 – 6x4 + 13x3 – 14x2 + 12õ – 8;
 
d(x) = (õ – 2)2;
22.24.
f(x) = x4 – 6x2 + 8õ – 3;
 
d(x) = (õ – 1)2;
22.25.
f(x) = x5 + 6õ4  + 14x3+ 20õ2 + 24õ + 16;
 
d(x) = (õ + 2)2;
22.26.
f(x) = x5 + 12õ4  + 56x3+ 126õ2 + 135õ + 54;
 
d(x) = (õ + 3)2;
22.27.
f(x) = x5 + 10õ4  + 16x3+ 128õ2 – 512õ – 512;
 
d(x) = (õ + 4)2;
22.28.
f(x) = x5 – 8õ4  + 21x3– 14õ2 – 20õ + 24;
 
d(x) = (õ – 2)2;
22.29.
f(x) = x5 – 7õ4  – 11x3+ 29õ2 + 368õ + 64;
 
d(x) = (õ – 4)2;
22.30.
f(x) = x5 + 8õ4  – 2x3– 180õ2 – 567õ – 540;
 
d(x) = (õ + 3)2;
22.31.
f(x) = x5 – 8õ4 + 21x3– 14õ2 – 20õ + 24;
 
d(x) = (õ – 2)2;
22.32.
f(x) = 4x5 + 40õ4 + 145x3+ 225õ2 + 135õ + 27;
 
d(x) = (õ + 3)2;
22.33.
f(x) = x5 + 3õ4 – 18x3+ 54õ2 + 81õ + 243;
 
d(x) = (õ + 3)2;
22.34.
f(x) = x5 + 6õ4 + 16x3+ 32õ2 + 48õ + 32;
 
d(x) = (õ + 2)2;
22.35.
f(x) = x5 + 11õ4 + 46x3+ 90õ2 + 81õ + 27;
 
d(x) = (õ + 3)2;
22.36.
f(x) = x5 + 5õ4 – 5x3– 45õ2 + 108;
 
d(x) = (õ + 3)2.

 

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