For the polynomial -8x5 - 2x4 + 72x3 + 18x2, find the following:

a) the end behavior of the polynomial by using the leading coefficient test.

b) all x-intercepts. Separate the x-intercepts by commas, if necessary.

 

c) the x-intercepts at which the graph crosses the x-axis. If there are no x-intercepts with this behavior, write "DNE" in the answer box. Separate the x-intercepts by commas, if necessary.

 

d) the x-intercepts at which the graph touches the x-axis and turns back around. If there are no x-intercepts with this behavior, write "DNE" in the answer box. Separate the x-intercepts by commas, if necessary.

 

e) the y-intercept.