Polynomials (IMO Level 1 Mathematics Olympiad (SOF) Class 10): Questions 1  8 of 81
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Question number: 1
» Polynomials
Question
If the zero of the quadratic polynomial is 3, then the value of k is ________
Choices
Choice (4)  Response  

a.  8 

b.  3 

c.  6 

d.  1 

Question number: 2
» Polynomials
Question
If are the roots of the cubic, the value of is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 3
» Polynomials
Question
If are the roots of then is ________
Choices
Choice (4)  Response  

a.  10 

b.  5 

c.  15 

d.  20 

Question number: 4
» Polynomials
Question
If one zero of the polynomial is a reciprocal of the other, then k is equal to ________
Choices
Choice (4)  Response  

a.  2 

b.  9 

c.  7 

d.  5 

Question number: 5
» Polynomials
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
Question
The difference of roots of the quadratic equation is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 7
» Polynomials
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
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. 

