Polynomials (IMO- Mathematics Olympiad Class 10): Questions 32 - 37 of 81

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Question number: 32

» Polynomials

MCQ▾

Question

If α,β be two zeroes of the quadratic polynomial ax2+bxc , then α2β+β2α =________

Choices

Choice (4) Response

a.

3abcb3a2c

b.

b22aca2

c.

3abcb3c3

d.

b3+3abca2c

Question number: 33

» Polynomials

MCQ▾

Question

If α,β be the zeroes of the quadratic polynomial 10x2+15x+25 , then the value of α+β+αβαβ =________

Choices

Choice (4) Response

a.

52

b.

52

c.

25

d.

25

Question number: 34

» Polynomials

MCQ▾

Question

The sum of the reciprocals of the roots of the equation x2+px+q=0 is ________

Choices

Choice (4) Response

a.

qp

b.

qp

c.

pq

d.

pq

Question number: 35

» Polynomials

MCQ▾

Question

If one zero of the cubic polynomial p(x)=x3+2x25x6 is 3 , then other two zeroes are ________

Choices

Choice (4) Response

a.

-1, -2

b.

2, -1

c.

1, 2

d.

Question does not provide sufficient data or is vague

Question number: 36

» Polynomials

MCQ▾

Question

The difference of roots of the quadratic equation 4y24y+1=0 is ________

Choices

Choice (4) Response

a.

1

b.

12

c.

0

d.

2

Question number: 37

» Polynomials

MCQ▾

Question

Quadratic polynomial having sum of its zeroes -10 and product of its zeroes 25 is ________

Choices

Choice (4) Response

a.

x2+10x25

b.

x210x25

c.

x210x+25

d.

x2+10x+25

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