Polynomials (IMO- Mathematics Olympiad Class 10): Questions 74 - 79 of 80

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Question number: 74

» Polynomials

MCQ▾

Question

If 1 is one of the zeroes of polynomials x2x+k , and then the value of k is ________

Choices

Choice (4) Response

a.

4

b.

0

c.

-2

d.

2

Question number: 75

» Polynomials

MCQ▾

Question

The roots of the quadratic equation 8x22kx+20=0 are in the ratio 5:2 , then k equals ________

Choices

Choice (4) Response

a.

10

b.

11

c.

14

d.

13

Question number: 76

» Polynomials

MCQ▾

Question

If αandβ are the zeroes of the quadratic polynomial f(x)=x27x+5 , then the value of α3+β3 is ________

Choices

Choice (4) Response

a.

260

b.

238

c.

250

d.

228

Question number: 77

» Polynomials

MCQ▾

Question

A cubic polynomial with the sum of its zeroes, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 6, 17, 12 respectively, is ________

Choices

Choice (4) Response

a.

x36x2+17x12

b.

x36x2+17x+12

c.

x3617x12

d.

x3+6x2+17x12

Question number: 78

» Polynomials

MCQ▾

Question

If one zero of the cubic polynomial p(x)=x36x2+11x6 is 1, then other two zeroes are ________

Choices

Choice (4) Response

a.

2, -3

b.

-2, -3

c.

-2, 3

d.

2, 3

Question number: 79

» Polynomials

MCQ▾

Question

If α,β are the roots of ax22bxc=0 then a3b3+a2b3+a3b2 is ________

Choices

Choice (4) Response

a.

(c+2b)a3

b.

c2(c+2b)a3

c.

c2(c+2b)a2

d.

c2(2b)a3

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