

1. 
List the possible rational roots of 3x^{3} + 5x^{2}  2x + 1 = 0. 


A. 
1, 
B. 
1, 


C. 
, 
D. 
, 


Hint 


2. 
Find the roots of x^{3} + 2x + 3 = 0. 


A. 
1, 2 
B. 
1, 2 


C. 

D. 



Hint 


3. 
Find the number of positive real zeros for f(x) = 3x^{5} + 2x^{3} + x^{2} + 7x  1 = 0. 


A. 
4 or 2 or 0 positive real zeros 
B. 
no positive real zeros 


C. 
4 or 2 positive real zeros 
D. 
exactly 1 positive real zero 


Hint 


4. 
Find the rational zeros of the equation 2x^{4}  x^{3}  21x^{2} + 9x + 27 = 0. 


A. 
3, 3, 1, 
B. 
3, 1, 1, 


C. 
3, 1, 1, 
D. 
3, 3, 1, 


Hint 


5. 
In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____. 


A. 
there is exactly one positive real zero 
B. 
there could be one or three positive real zeros 


C. 
none of the above is correct 
D. 
there is one imaginary root 


Hint 

