Describe the end behavior of the graph using the leading term of the polynomial.
Estimate the number of real zeros and extrema (turning points) of the function based on the degree of the function.
Write a potential function expression for your polynomial (it doesn't have to match the graph perfectly).
Factor
Draw a polynomial with the following characteristics:
* 5 unique zeros
* A zero with multiplicity 2
* A positive leading coefficient (think about end behavior for this one)