1. a ning qanday qiymatlarida f(x) ko’phad h(x) ko’phad ga qoldiіsiz bo’linadi ?

8.f(x) ko’phadni x-x₀ darajalari bo’yicha yoyilmasini toping
f (x) = x³ +4x² +3x - 4 ; x₀ = 2 .
А) * (x-2)³ +10(x-2)² +31(x-2) +26 В) (x-2)³ -10(x-2)² +11(x-2) +16
С) (x-2)³ +10(x-2)² +21(x-2) -16 D) (x-2)³ +10(x-2)² +21(x-2) +16
9. Ratsional sonlar to‘plami ustida keltirilmas ko‘phadni ko‘rsating.
A) * B) C) D)
10. Quyidagi ildizlarga ega bo‘lgan haqiqiy koeffitsientli ko‘phadning eng kichik daraja ko‘rsatkichini toping: .
A)6 B)5 C) 7 D) * 4
11. ko‘phadning hamma ildizlarining yig‘indisini toping
A) * 0 B)1 C)2 D)3
12. Ko‘phadning hamma ildizlarining yig‘indisini toping:
A)1 B) C) * 0 D)
13. ko‘phadning ratsional ildizlari topilsin
A) 1 B) 3 C) *2 D) -2
14. _{Gorner sxemasidan foydalanib} ko’phad uchun ni hisoblang. A)*5 B) 4 C) 3 D) 6
15. _{Gorner sxemasidan foydalanib} soni ko’phad uchun necha karrali ildizligini _aniqlang. A) 4 B) 1 C) 2 D)*3
16. sonini shunday tanlangki 1 soni ko’phadning ildizi bolsin. U necha karrali ildiz boladi? A) a = 1,k = 4 B) * C) a = 3,k = 4 D) a = 4,k = 4
17. 3x³+19x²+22x-24 ko’phadni x+3 ga bo’ling.
A)*3x²+10x-8 B) -3x²-10x-8 C) x²+8x-5 D) -x²+3x-7
18. 5x³-44x²+81x+18 Ko’phadni x-3 ga bo’ling.
A) 4x²+3x-5 B)* 5x²-29x-6 C) 6x²-4x-8 D) 3x²-24x-12
19.2x³-19x²+32x+21 Ko’phadni x-7 ga bo’ling.
A) 3x²+2x-7 B)2x²-12x-6 C)*2x²-5x-3 D)4x²-4x+13
20..Darajasi………. dan kichik bo’lmagan kompleks koeffitsientli har qanday ko’phad kamida bitta kompleks ildizga ega.
A)2 B)* 1 C)3 D)4
21. f(x) ko’phadni x-c ikki hadga bo’lishdan hosil bo’lgan qoldiq……… ga teng.
A) f(0) B)-f(c) C) f ’(c) D) * f(c)
22. x=c element f(x) ko’phadning ildizi bo’lishi uchun f(x) ning …….. ikki hadga bo’linishi zarur va etarli.
A)* x-c B)f ’(x) C) f(-x) D) f(0)
23. Agar c₁,c₂,...,c_n lar f(x) ko’phadning turli ildizlari bo’lsa, u holda f(x) ko’phad …………. bo’linadi.
A) (x-c₁)-(x-c₂)-...-(x-c_n) ayirmaga B) (x-c₁), (x-c₂), ..., (x-c_n) larning biriga
C) (x-c₁)+(x-c₂)+...+(x-c_n) yig’indiga D)* (x-c₁)(x-c₂)...(x-c_n) ko’paytmaga
24. K maydon ustida berilgan ko’phadlarning bo’linishi quyidagi xossaga ega: