Polynomials (IMO- Mathematics Olympiad Class 9): Questions 83 - 90 of 104

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Question number: 83

» Polynomials

MCQ▾

Question

If ab+ba=1 , then a3b3 =

Choices

Choice (4) Response
a.

2

b.

0

c.

3

d.

1

Question number: 84

» Polynomials

MCQ▾

Question

6x324xy23x2y+12y3=

Choices

Choice (4) Response
a.

3(2xy)(x+2y)(x2y)

b.

3(2xy)(x2y)(x+y)

c.

3(2x+y)(xy)(x+2y)

d.

3(2xy)(x+y)(x+2y)

Question number: 85

» Polynomials

MCQ▾

Question

3x44x33x+4

Choices

Choice (4) Response
a.

(3x+4)(x1)(x2+x+1)

b.

(3x+4)(x1)(x2x1)

c.

(3x4)(x1)(x2+x+1)

d.

(3x+4)(x+1)(x2+x+1)

Question number: 86

» Polynomials

MCQ▾

Question

The value of (a+b)3+(ab)3+6a(a2b2) =________

Choices

Choice (4) Response
a.

10a3

b.

12a3

c.

8a3

d.

6a3

Question number: 87

» Polynomials

MCQ▾

Question

Factors of 12x23x+4=

Choices

Choice (4) Response
a.

(x4)(x1)

b.

(x4)(x2)

c.

(x4)(12x1)

d.

(14x1)(x2)

Question number: 88

» Polynomials

MCQ▾

Question

If a+b+c=0 , then a(b2+c2)+b(c2+a2)+c(a2+b2) =

Choices

Choice (4) Response
a.

3abc

b.

abc

c.

abc

d.

3abc

Question number: 89

» Polynomials

MCQ▾

Question

If x+y=5 and x2+y2=111 , then value of x3+y3 is________.

Choices

Choice (4) Response
a.

770

b.

115

c.

227

d.

555

Question number: 90

» Polynomials

MCQ▾

Question

Factors of x3+13x2+32x+20

Choices

Choice (4) Response
a.

(x+1)(x212x+20)

b.

(x+1)(x2+12x+20)

c.

(x1)(x2+12x+20)

d.

(x1)(x212x+20)

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