MS 100 Spring 2006 Test 4 • Name:

1. Perform the long division (x³ + 3x² − 33x − 35) ÷ ( x − 5)

2. Find the y-intercept for f(x) = x³ + 3x² − 33x − 35

3. Find the zeros (x-intercepts) for f(x) = x³ + 3x² − 33x − 35

4. Is the lead coefficient for f(x) = x³ + 3x² − 33x − 35 positive or negative?

5. Is f(x) = x³ + 3x² − 33x − 35 an even or odd function?

6. Use the above information to help you sketch a somewhat accurate graph of the function.