For each polynomial below, find the following:
- Determine the degree.
- State all zeros (x-intercepts) and their multiplicities. List your answers in point form.
- Find the y-intercept. List your answers in point form.
- Determine the leading term, and use this to state the end behavior of the function, ie as x -> infinity, y -> ? and as x -> -infinity, y -> ?
P(x) = -2x^3(x + 2)(2x - 1)^2