Hi, I need some help with all the information I can get for this question. I want to understand it very thoroughly so that I can apply the processes to two or three more very similar problems on my own.

For this function below, can you help me with the following:

1. Describing its important characteristics 2. Show example of steps to divide it, with explanation- using factor theorem and remainder theorem

3. If I apply f(x) > 0 and f(x)

4. An interval chart for the above 5. Show how to factor it as a higher degree function - steps and explanation 6. Starting from standard form, how to graph it by hand 7. Explain how to solve it as an equation

Thanks

f(x) =