# A College Algebra- Spring Final

```Name:_____________________________________________ Period:____________
A
College Algebra- Spring Final
1. Write the partial fraction decomposition of
2ðĨ 2 −ðĨ−9
.
ðĨ 3 −ðĨ
1.__________________________(+5)
2. Write the partial fraction decomposition of
12ðĨ+3
.
ðĨ 3 −1
2.__________________________(+5)
3. Solve in the complex number system.
ðĨ 4 + 10ðĨ = −ðĨ 2
4.__________________________(+5)
4. Solve algebraically.
5 1
1
− [ððð3 ðĨ + ððð3 (ðĨ − 2)] = − ððð4 4
3 2
3
5.__________________________(+5)
2ðĨ 2 +ðĨ−3
5. Analyze the graph of the rational function ð(ðĨ) = 2ðĨ 3 −12ðĨ2 +10ðĨ.
a. Find the domain.
b. Write ð(ðĨ) in lowest terms and identify any holes
in the graph.
c. Locate the intercepts of the graphs.
d. Locate any vertical asymptotes.
e. Locate any oblique or horizontal asymptotes.
Determine if crossed.
f. Identify any potential local maxima or minima.
g. Graph.
a.______________________(+10)
b.______________________
c.______________________
d.______________________
e.______________________
f.______________________
```