Polynomials (IMO Mathematics Olympiad Class 10): Questions 54  59 of 81
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Question number: 54
» Polynomials
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
Question
When is divided by, the quotient and remainder is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 56
» Polynomials
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
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
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
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 
