Polynomials [IMO Level 1- Mathematics Olympiad (SOF) Class 10]: Questions 1 - 9 of 82

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Question number: 1

» Polynomials

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MCQ▾

Question

If the zero of the quadratic polynomial is 3, then the value of k is ________

Choices

Choice (4)Response

a.

6

b.

-3

c.

-8

d.

-1

Question number: 2

» Polynomials

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MCQ▾

Question

If are the roots of the cubic , the value of is ________

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 3

» Polynomials

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MCQ▾

Question

If are the roots of then is ________

Choices

Choice (4)Response

a.

-15

b.

-20

c.

-10

d.

-5

Question number: 4

» Polynomials

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MCQ▾

Question

If one zero of the polynomial is a reciprocal of the other, then k is equal to ________

Choices

Choice (4)Response

a.

5

b.

7

c.

9

d.

2

Question number: 5

» Polynomials

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MCQ▾

Question

If are the roots of the equation , then the equation whose roots are and is ________

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 6

» Polynomials

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MCQ▾

Question

The difference of roots of the quadratic equation is ________

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 7

» Polynomials

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MCQ▾

Question

The sum of the reciprocals of the roots of the equation is ________

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 8

» Polynomials

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MCQ▾

Question

If are the roots of the equation , then the quadratic equation whose roots are and is ________

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 9

» Polynomials

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MCQ▾

Question

If are the roots of the equation , then the equation whose roots are and is ________

Choices

Choice (4)Response

a.

b.

c.

d.

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