# Polynomials (IMO Level 1- Mathematics Olympiad (SOF) Class 10): Questions 1 - 8 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.

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