Factorisation (IMO- Mathematics Olympiad Class 8): Questions 9 - 16 of 63

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Question number: 9

» Factorisation

MCQ▾

Question

For x2+2x+5 to be a factor of x4+px2+q , then the value of p and q must be________.

Choices

Choice (4) Response

a.

2, 20

b.

6, 50

c.

6, 25

d.

5, 30

Question number: 10

» Factorisation

MCQ▾

Question

One factor of x2+75x+50 is ________.

Choices

Choice (4) Response

a.

x+55

b.

25x

c.

5+x

d.

x+3

Question number: 11

» Factorisation

MCQ▾

Question

The factors of x516x are________.

Choices

Choice (4) Response

a.

(x2+y2)(x+2)

b.

(x+2)(x2)

c.

(x2+y2)(x2y2+4)

d.

x(x2)(x+2)(x2+4)

Question number: 12

» Factorisation

MCQ▾

Question

If (a2+5a+2)(a25a+2)=m2n2 , then m = ________.

Choices

Choice (4) Response

a.

a2+2

b.

2a+1

c.

a22

d.

5a

Question number: 13

» Factorisation

MCQ▾

Question

One of the factors of x2+1x22 is________.

Choices

Choice (4) Response

a.

(x+1x)2

b.

x1x

c.

(x1x)2

d.

x2+1x2

Question number: 14

» Factorisation

MCQ▾

Question

If (x+1x)=3 then (x3+1x3) equals________.

Choices

Choice (4) Response

a.

14

b.

18

c.

15

d.

13

Question number: 15

» Factorisation

MCQ▾

Question

One of the factors of x2+1x2+8+3x2+3x2 is________.

Choices

Choice (4) Response

a.

x1x

b.

x2+1x2

c.

(x+1x)2

d.

4(x+1x)2

Question number: 16

» Factorisation

MCQ▾

Question

One factor of x34x29x+36=0 is________.

Choices

Choice (4) Response

a.

(x4)

b.

(x+3)

c.

(x3)

d.

All a. , b. and c. are correct

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