Given the following polynomial find the maximum possible number of turning points. f(x)=x11+x10+x12+x9

Question

I am very confused with turning points 

Answer 1

A 1st degree polynomial has zero turning points.

A 2ns degree polynomial has a maximum 1 turning point.

A 3rd degree has a maximum of 2 turning points.

 

As you can see, the maximum of turning points a polynomial can have is given by this formula:

 

maximum number of turning points = degree of polynomial - 1

 

 

Use this formula to find the answer to your question.