

1. 
Determine between which consecutive integers the real zeros of f(x) = x^{4}  4x^{2} + x  3 are located. 


A. 
between 3 and 2 and between 5 and 6 
B. 
between 4 and 3 and between 3 and 4 


C. 
between 2 and 1 and between 2 and 3 
D. 
between 3 and 2 and between 2 and 3 


Hint 


2. 
Approximate the real zero(s) of f(x) = x^{3}  2x^{2} + 5x  5 to the nearest tenth. 


A. 
1.4 
B. 
1.6 


C. 
1.2 
D. 
1.4, 2.1, and 3.2 


Hint 


3. 
Use the Upper Bound Theorem to find an integral upper bound and the Lower Bound Theorem to find an integral lower bound of the zeros of the function f(x) = x^{3}  2x^{2}  x + 6. All real zeros of f(x) can be found in the interval. 


A. 
3 x 2 
B. 
1 x 2 


C. 
2 x 3 
D. 
2 x 3 


Hint 


4. 
Approximate the real zeros of the function f(x) = 2x^{2} + 4x + 1 to the nearest tenth. 


A. 
1.7 and 0.3 
B. 
1.8 and 0.2 


C. 
1.8 and 0.4 
D. 
1.6 and 0.2 


Hint 


5. 
Determine the number of complex zeros of the function f(x) = x^{5}  4x^{2} + 2x  1. 


A. 
5 
B. 
4 


C. 
2 
D. 
3 


Hint 

