Two of the three real zeros of a cubic function are equal. How many times does the graph of the function inter?

A sixth-degree polynomial has six distinct real zeros. How many turning points does the graph of the polynomial have?

Jason is using a 6-inch by 10-inch piece of cardboard to make an open box. In order to make the box, he plans to cut the same size square piece out of each corner of the cardboard. What is the height of the box if the volume is 22.5 cubic inches?



If anybody wants to be generous :p.Two of the three real zeros of a cubic function are equal. How many times does the graph of the function inter?A sixth-degree polynomial has six distinct real zeros. How many turning points does the graph of the polynomial have?

If there are six distinct real zeros there must be six distinct x-intercepts on the graph, so some consequence of the intermediate value theorem must be that there are at least five turning points.



Let x be the measure of one side of the corner square that gets cut out. That makes x also the height of the box.

volume = (6 - 2x) (10 - 2x) x = 22.5

Solve the resulting cubic equation:

x = 1/2 or

x = 2.07295