To do this problem you first must factor out the polynomial and find the end behavior. To find the x intercept you simply equal each factor to zero and solve. You must also remember to put the multiplicity of each zero. For finding the y intercept you replace all x's with zero and the number remaining will be your y intercept.
You must make sure to find the correct zeros after factoring in order to graph the precise graph. Another very important thing is knowing whether the graph bounces, goes thru, or curves, at each point. If the zero have a multiplicity of 1 then i will go thru, if 2 then it will bounce, and if 3 then it will curve at the point.