Polynomials (IMO- Mathematics Olympiad Class 9): Questions 91 - 98 of 104

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Question number: 91

» Polynomials

MCQ▾

Question

The sum of the x-coordinates of the intersection of x2+y2=36 and x2y2=6 , is ________.

Choices

Choice (4) Response

a.

221

b.

0

c.

221

d.

215

Question number: 92

» Polynomials

MCQ▾

Question

If p=(2a) , then a3+6ap+p38 , is ________.

Choices

Choice (4) Response

a.

1

b.

2

c.

0

d.

3

Question number: 93

» Polynomials

MCQ▾

Question

st+ts=1 , then s3+t3 =

Choices

Choice (4) Response

a.

-1

b.

4

c.

0

d.

2

Question number: 94

» Polynomials

MCQ▾

Question

Find the value of n if (xn) is a factor of the polynomial x4nx3+3xn+2

Choices

Choice (4) Response

a.

2

b.

1

c.

-1

d.

-2

Question number: 95

» Polynomials

MCQ▾

Question

64j327k3144j2k+108jk2

Choices

Choice (4) Response

a.

(4j+3k)3

b.

(2j3k)3

c.

(4j3k)3

d.

(4j6k)3

Question number: 96

» Polynomials

MCQ▾

Question

If a12+b12c12=0 , then the value of (a+bc)2 is ________.

Choices

Choice (4) Response

a.

2ab

b.

2bc

c.

4ac

d.

4ab

Question number: 97

» Polynomials

MCQ▾

Question

81y218y+164x2 =

Choices

Choice (4) Response

a.

(9x+9y1)(9x+9y+1)

b.

(9y1+8x)(9y18y)

c.

(9y1+8x)(9y18x)

d.

(9y+1+8x)(8y+1+9x)

Question number: 98

» Polynomials

MCQ▾

Question

If p+q+r=10 and pq+qr+rp=40 find the value of p2+q2+r2 ________

Choices

Choice (4) Response

a.

20

b.

80

c.

40

d.

60

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