Polynomials (IMO Mathematics Olympiad Class 9): Questions 42  49 of 104
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Question number: 42
» Polynomials
Question
Find the remainder when is divided by .
Choices
Choice (4)  Response  

a.  0 

b.  1 

c.  3 

d.  6 

Question number: 43
» Polynomials
Question
If then =
Choices
Choice (4)  Response  

a.  4 

b.  2 

c.  3 

d.  1 

Question number: 44
» Polynomials
Question
The product of all the solutions of , is ________.
Choices
Choice (4)  Response  

a. 


b. 


c.  4 

d.  16 

Question number: 45
» Polynomials
Question
The number of positive integers k for which the equation has an integer solution for x is ________
Choices
Choice (4)  Response  

a.  2 

b.  3 

c.  5 

d.  8 

Question number: 46
» Polynomials
Question
If , then =
Choices
Choice (4)  Response  

a.  1 

b.  0 

c.  3 

d.  2 

Question number: 47
» Polynomials
Question
If has as a factor and leaves a remainder 2 when divided by , find the values of ‘a’ and ‘b’.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 48
» Polynomials
Question
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 49
» Polynomials
Question
Given that is a solution of . The other solutions are ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

