http://i.imgur.com/90Fk2.png

Find the minimum possible degrees of the polynomial?

Question

http://i.imgur.com/90Fk2.png

Find  the minimum possible degrees of the polynomial?

anonymous · Answer

I tried to count where the graph bounces, but it didn't help me.

I am probably missing something very simple.

anonymous · Answer

I have 1-2

anonymous · Answer

Is there something else I have to do to find them?

ash2326 · Answer

@rdlr
I'll help you with his

anonymous · Answer

Okay. Don't know why I am confused

ash2326 · Answer

suppose I have a 2 degree polynomial that's a quadratic. We know its degree is 2 !
so the curve will cut the x axis twice. Please see the figure|dw:1346819977295:dw|

anonymous · Answer

Yes, I believe I understand that

ash2326 · Answer

|dw:1346820006808:dw|
We know that quadratic with complex roots, won't cross the x-axis. The graph I drew could also be of a 4th degree polynomial with two complex roots.
Do you agree with this?