Quiz about Algebra fanidan test

Question 1

Bezu teoremasi qaysi qatorda keltirilgan?

Accepted Answer

f(x) ko'phad x-a ko'phadga qoldiqsiz bo'linishi uchun f(a)=0 bo'lishi zarur va yetarli

Answer

f(x) ko'phad x ko'phadga qoldiqsiz bo'linishi uchun f(a)=0 bo'lishi zarur va yetarli

Answer

f(x) ko'phad x-2a ko'phadga qoldiqsiz bo'linishi uchun f(a)=0 bo'lishi zarur va yetarli

Answer

f(x) ko'phad $$X^2$$ -a ko'phadga qoldiqsiz bo'linishi uchun f(a)=0 bo'lishi zarur va yetarli

Question 2

Algebraning asosiy teoremasi quyidagicha tasniflanadi: Darajasi nolga teng bo'lmagan ixtiyoriy f(x) $$\in$$ C(x) ko'phad kamida 1 ta kompleks ildizga ega.

Accepted Answer

rost

Answer

yolg'on

Question 3

Uchinchi darajali tenglamani Kardano formulasi yordamida yeching

$$x^3+3x-2i=0$$

Accepted Answer

-2i,i,i

Answer

-2i

Answer

i.-2i

Answer

1,0,i

Question 4

$$x^3+9x-26=0$$

Berilgan uchinchi darajali tenglamani Kardano formulasi yordamida yeching

Accepted Answer

2,-1 $$\pm$$ 2i $$\sqrt[]{3}$$

Answer

2,1

Answer

2,-1

Answer

2,-1 $$\pm$$ i $$\sqrt[]{3}$$

Question 5

$$\left(-\frac{1}{2}+\frac{i\sqrt[]{3}}{2}\right)^3$$ ni hisoblang

Accepted Answer

1

Answer

-1

Answer

3

Answer

i

Question 6

$$\frac{\left(-1+i\sqrt[]{3}\right)^{15}}{\left(1-i\right)^{20}}+\frac{\left(-1-\iota\sqrt[]{3}\right)^{15}}{\left(1+\iota\right)^{20}}^{ }$$ ni hisoblang

Accepted Answer

-64

Answer

1

Answer

0

Answer

64

Question 7

$$x^4-6x^3+10x^2-2x-3=0$$ To'rtinchi darajali tenglamani Ferrari usulida yeching

Accepted Answer

1,3,1 $$\pm\sqrt[]{2}$$

Answer

1,3

Answer

1,-3

Answer

1,3,1- $$\sqrt[]{2}$$

Question 8

$$x^4-2x^3+4x^2+2x-5=0$$

berilgan to'rtinchi darajali tenglamaning yechimi 1,-1,1+i va 1-i

Accepted Answer

yolg'on

Answer

rost

Question 9

$$x^5+5x^4+9x^3+7x^2+5x+3$$ va $$x^4+2x^3+2x^2+x+1$$ ko'phadlarning EKUB i qaysi javobda berilgan?

Accepted Answer

1

Answer

x+1

Answer

x+2

Answer

x-1

Question 10

$$x^5+x^4-x^3-3x^2-3x-1$$ va $$x^4-2x^3-x^2-2x+1$$ ko'phadlarning EKUBini toping

Accepted Answer

$$x^2+x+1$$

Answer

x+1

Answer

$$x^2+x$$

Answer

$$x^2+x-1$$

Question 11

$$f\left(x\right)=x^4+4x^3-2x^2-12x+9\ $$ ko'phadning butun va ratsional ildizlarini toping

Accepted Answer

1 va -3

Answer

1 va -1

Answer

1 va 3

Answer

1 , 3,-3

Question 12

$$\iota^{4k}$$ ning qiymatini toping

Accepted Answer

1

Answer

-1

Answer

i

Answer

-i

Question 13

$$\iota^{4k} imes\iota^3$$ ning qiymatini toping

Accepted Answer

-i

Answer

1

Answer

-1

Answer

i

Algebra fanidan test

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