IMO- Mathematics Olympiad Class 8: Questions 612 - 619 of 1029

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Question number: 612

» Factorisation

MCQ▾

Question

One factor of x2+x2+8 is ________.

Choices

Choice (4) Response
a.

3+x

b.

x+2

c.

22x

d.

23x

Question number: 613

» Factorisation

MCQ▾

Question

Reducing the expression a2b2ababb2aba2 to lowest terms, we get________.

Choices

Choice (4) Response
a.

a2b

b.

ab

c.

a2

d.

a2b

Question number: 614

» Factorisation

MCQ▾

Question

If x+3 is a factor of 3x3+2x22x+a+5=0 , then the value of a must be________.

Choices

Choice (4) Response
a.

52

b.

20

c.

50

d.

52

Question number: 615

» Factorisation

MCQ▾

Question

The complex factors of x2+16 are________.

Choices

Choice (4) Response
a.

(x+4i)(x4i)

b.

(x+4)(x4)

c.

(x2+4)(x24)

d. Question does not provide sufficient data or is vague

Question number: 616

» Factorisation

MCQ▾

Question

If x+2y=13 and 3x2y=15, then the value of xy is________.

Choices

Choice (4) Response
a.

24

b.

25

c.

21

d.

26

Question number: 617

» Factorisation

MCQ▾

Question

Evaluation of (0.6)2(0.4)2 is________.

Choices

Choice (4) Response
a.

4

b.

3

c.

2

d.

9

Question number: 618

» Factorisation

MCQ▾

Question

The factors of x4+2x2+9 is________.

Choices

Choice (4) Response
a.

(x2+3)(x23)

b.

(x2+32x)(x2+3+2x)

c.

(x22x)(x2+2x)

d. All of the above

Question number: 619

» 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

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