# Polynomials (IMO- Mathematics Olympiad Class 10): Questions 54 - 59 of 81

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## Question number: 54

» Polynomials

MCQ▾

### Question

For to be a factor of, the value of p and q should respectively be ________

### Choices

Choice (4) Response

a.

2, 5

b.

5, 2

c.

6, 25

d.

5, 25

## Question number: 55

» Polynomials

MCQ▾

### Question

When is divided by, the quotient and remainder is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 56

» Polynomials

MCQ▾

### Question

If are two numbers such that. Then are the roots of the quadratic equation ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 57

» Polynomials

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 58

» Polynomials

MCQ▾

### Question

If the sum of the squares of zeroes of the polynomial is, find the value of k

### Choices

Choice (4) Response

a.

-3

b.

-4

c.

4

d.

3

## Question number: 59

» Polynomials

MCQ▾

### Question

If a and b are the roots of the quadratic equation with the condition , then the value of ‘q’ is ________

### Choices

Choice (4) Response

a.

5

b.

6 or -6

c.

5 or -5

d.

6

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