The graph of a polynomial function has four turning points. What do you know about the degree and local extrema of this polynomial

Given :
The graph of a polynomial function has four turning points.
If there are 'n' turning points of a polynomial , then the least possible degree of polynomial is
[tex]n+1[/tex]The graph of a polynomial function has four turning points.
The least possible degree of this polynomial with 4 turning points is
[tex]4+1=5[/tex]