Math 112   Test 3   8 points each  April 13, 2000

 

 


1.  Divide by long division: (x4 + 3x3 - 3x2 - 12x - 4) Ö (x2 - 3x + 1).

 

2. Divide using synthetic division: (x3 - x - 6) Ö (x + 2).

 

3.  List all possible rational roots for the polynomial

    f(x) = 3x5 + 2x2 - 3x + 6

 

 

4.  Which of the following is not a possible rational zero of: f(x) = 2x3 + 5x2 + 3

 

e. All of these are possible rational zeros.

 

 

5.   Write the equation for the polynomial with zeros -2, 3i, 4.

 

6.  Find all zeros for

P(x) = 2x5 - 3x4 - 6x3 + 23 x2  - 26 x + 10

 

Find all x & y intercepts, vertical and horizontal asymptotes, and sketch graph.

 

7.  f(x) =  7 / (x + 2)

 

8.  (x + 5) / (x 2 + 4)

 

 

9.  f(x) = (x + 2)3 / (x2 - 3x + 2)

 

10.  

 

Find the equation of the function whose graph is:

 

11. 

 

 

12.