Polynomials (IMO- Mathematics Olympiad Class 10): Questions 26 - 31 of 80

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Question number: 26

» Polynomials

MCQ▾

Question

If one zero of the cubic polynomial p(x)=x35x22x+24 is -2, then other two zeroes are ________

Choices

Choice (4) Response

a.

-3, 4

b.

3, -4

c.

3, 4

d.

-3, -4

Question number: 27

» Polynomials

MCQ▾

Question

If α,β,γ be the zeroes of the cubic polynomial ax3+bx2+4x+7 , then the value of αβ+βγ+γα =________

Choices

Choice (4) Response

a.

4

b.

4a

c.

-4

d.

4a

Question number: 28

» Polynomials

MCQ▾

Question

If α,β are the zeroes of the polynomial f(x)=x2p(x+1)c , then (α+1)(β+1) is equal to ________

Choices

Choice (4) Response

a.

1 + c

b.

c - 1

c.

1 - c

d.

c

Question number: 29

» Polynomials

MCQ▾

Question

If αandβ are the zeroes of the quadratic polynomial f(x)=x22x12 , then the value of α2β2+β2α2 is ________

Choices

Choice (4) Response

a.

931

b.

319

c.

319

d.

193

Question number: 30

» Polynomials

MCQ▾

Question

The roots of the quadratic equation 6x25kx+210=0 are in the ratio 5:7 , then k equals ________

Choices

Choice (4) Response

a.

16.5

b.

17.4

c.

14.4

d.

13.4

Question number: 31

» Polynomials

MCQ▾

Question

If p and q are the roots of the equation 2x2ax+b=0 , then the equation if the roots are (2ab+2a+2b)and(2ab2a2b) ?

Choices

Choice (4) Response

a.

2x22bx+(b2a2)=0

b.

x22qx+(b2a2)=0

c.

x22bx+(b2a2)=0

d.

x22px+(q2p2)=0

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