1. Consider the function f(x )= x^4 - 3x^3 - 7x^2 + 15x + 18
2. Find the possible rational roots ofF(x) = 0
3. Use synthetic division to divide f(x)by x 3. Show all your work. Use your answer to explain whether or not x 3 is a factor of f(x)
4. Factor f(x)completely. Show all your work.
5. Sketch the graph of f(x)by plotting the x-intercepts, finding and plotting additional points on the graph, and using what you know about the graphs end behavior.

Answer: