College Algebra Final Exam Review Assignment #1
1. Write the partial fraction decomposition of the following rational expression.
4𝑥 3 + 6𝑥 2 + 16𝑥 + 9
𝑥 2 (𝑥 2 + 1)
2. Use the given zero to find the remaining zeros of the given function. State ALL zeros!
𝑓(𝑥) = 𝑥 4 − 7𝑥 3 + 14𝑥 2 − 38𝑥 − 60
𝑧𝑒𝑟𝑜: 1 + 3𝑖
3. Graph the following function using the eight steps listed below.
𝑓(𝑥) =
𝑥 3 +1
𝑥 2 +2𝑥
1) Factor and find the domain of the rational function
2) Write the function in lowest terms (things cancel)
3) Locate the x- and y-intercepts
4) Test graph for symmetry
5) Locate vertical asymptotes and holes
6) Locate horizontal or oblique asymptotes
7) Make a table of test points to help with graphing
8) Graph the rational function by hand