Looking at the graph
The end behavior of the given function is
f(x)→−∞, as x→−∞
f(x)→+∞, as x→+∞
The degree of the polynomial is Odd
The leading coefficient is positive
The degree of the polynomial is at least 3
so
Root with a multiplicity 1 -----> x=4
Root wit a multiplicity 2 (even) ---> x=-2
therefore
Real roots ---------> x=-2 and x=4
factors --------> (x-4) and (x+2)^2
A factor with an odd multiplicity ---------> (x-4)
Code Piece S