Polynomials (IMO- Mathematics Olympiad Class 9): Questions 50 - 55 of 104

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Question number: 50

» Polynomials

MCQ▾

Question

x12y12 =

Choices

Choice (4) Response
a.

(x+y)(x2+xyy2)(x+y)(x2xyy2)(x2+y2)(x4x2y2+y4)

b.

(x+y)(x2xy+y2)(x+y)(x2xyy2)(x2+y2)(x4x2y2+y4)

c.

(xy)(x2+xy+y2)(x+y)(x2xyy2)(x2+y2)(x4x2y2+y4)

d.

(xy)(x2xy+y2)(x+y)(x2xyy2)(x2+y2)(x4x2y2+y4)

Question number: 51

» Polynomials

MCQ▾

Question

If 2x=t+t2+4 and 3y=tt2+4 , then value of y when x=23 , is________.

Choices

Choice (4) Response
a.

-2

b.

2

c.

-1

d.

1

Question number: 52

» Polynomials

MCQ▾

Question

Find the value of a if (xa) is a factor of the polynomial x6ax5+x4ax3+3xa+2

Choices

Choice (4) Response
a.

a=1

b.

a=2

c.

a=1

d.

a=2

Question number: 53

» Polynomials

MCQ▾

Question

20a245=

Choices

Choice (4) Response
a.

3(2a+5)(2a5)

b.

5(32a)(3+2a)

c.

5(2a+3)(2a3)

d.

3(5+2a)(52a)

Question number: 54

» Polynomials

MCQ▾

Question

a3+b3+a+b =

Choices

Choice (4) Response
a.

(a+b)(a2b2ab1)

b.

(a+b)(a2+b2ab+1)

c.

(a+b)(a2b2+ab1)

d.

(ab)(a2+b2ab+1)

Question number: 55

» Polynomials

MCQ▾

Question

If xb+ca=yc+ab=za+bc show that x(bc)+y(ca)+z(ab) = ________.

Choices

Choice (4) Response
a.

x(ya)4

b.

x(ya)2

c.

y(xa)2

d.

a(yx)2

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