Thread: Polynomial Degree

I am doing a question for my test review, I attached it I know its easy but.

theres a cubic shape in there witch means 3 turning points, then there two more wich is 5 turning points in total
so i think it is degree 6 but it could be degree 7 my freind said but degree 7 must have 6 turning points?

5th degree polynomial ...

The graph shows two turning points and an inflection point. That means that the derivative has (at least) 4 zeros and so the polynomial has degree (at least) 5.