Polynomials (IMO- Mathematics Olympiad Class 9): Questions 8 - 13 of 104

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Question number: 8

» Polynomials

MCQ▾

Question

x8xy3=

Choices

Choice (4) Response

a.

x(1+2y)(1+2y+4y2)

b.

x(12y)(1+2y+4y2)

c.

x(12y)(12y+4y2)

d.

x(1+2y)(12y+4y2)

Question number: 9

» Polynomials

MCQ▾

Question

If 2p3xp2yp14 has (x+2) as a factor and leaves a remainder -26 when divided by (x+3) , find the values of ‘x’ and ‘y’.

Choices

Choice (4) Response

a.

x=1,y=17

b.

x=1,y=17

c.

x=1,y=17

d.

x=1,y=17

Question number: 10

» Polynomials

MCQ▾

Question

ab+bc+ax+cx=

Choices

Choice (4) Response

a.

(x+a)(a+b)

b.

(a+c)(x+b)

c.

(a+b)(x+c)

d.

(ac)(xb)

Question number: 11

» Polynomials

MCQ▾

Question

2x3+y3=

Choices

Choice (4) Response

a.

(2xy)(4x22xy+y2)

b.

(2xy)(4x22xyy2)

c.

(2x+y)(4x22xy+y2)

d.

(2x+y)(4x2+2xy+y2)

Question number: 12

» Polynomials

MCQ▾

Question

If x+1x=a+b and x1x=ab , then ________.

Choices

Choice (4) Response

a.

ab=1

b.

a=b

c.

ab=2

d.

a+b=0

Question number: 13

» Polynomials

MCQ▾

Question

How do I obtain P, Q, R from equation P(a2+4a+3)+Q(a+3)+R(a2+2a+1)=3a2

Choices

Choice (4) Response

a.

P=114,Q=52,R=114

b.

P=114,Q=52,R=114

c.

P=114,Q=52,R=114

d.

P=114,Q=52,R=114

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