Polynomials (IMO- Mathematics Olympiad Class 9): Questions 99 - 104 of 104

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Question number: 99

» Polynomials

MCQ▾

Question

125s3+t3+u3+15stu

Choices

Choice (4) Response

a.

(5stu)(5s2+t2+u25sttu5us)

b.

(5s+t+u)(5s2+t2+u23sttu5us)

c.

(5s+t+u)(25s2+t2+u25sttu5us)

d.

(5stu)(25s2+t2+u23sttu5us)

Question number: 100

» Polynomials

MCQ▾

Question

The number of positive integers k for which the equation 2xk56=2k has an integer solution for x is ________

Choices

Choice (4) Response

a.

0

b.

1

c.

-1

d.

2

Question number: 101

» Polynomials

MCQ▾

Question

Value of (xa)3+(xc)33(xa)(xb)(xc) when a+b+c=3x , is ________

Choices

Choice (4) Response

a.

3

b.

1

c.

2

d.

0

Question number: 102

» Polynomials

MCQ▾

Question

a2+b2+c2=ab+bc+ca then find the value of a+bb

Choices

Choice (4) Response

a.

1

b.

3

c.

2

d.

4

Question number: 103

» Polynomials

MCQ▾

Question

8x3+27y3+36x2y+54xy2

Choices

Choice (4) Response

a.

(3x2y)3

b.

(2x+3y)3

c.

(3x2y)3

d.

(3x+2y)3

Question number: 104

» Polynomials

MCQ▾

Question

If xab=ybc=zca show that x+y+z = ________.

Choices

Choice (4) Response

a.

-1

b.

0

c.

2

d.

1

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