【2 college math questions】

1) Determine whether the graph the polynomial f(x)=3^3 -2x has y-axis symmetry, origin symmetry, or neither.
And plz explain how can I tell if the polynomial is of which type (among those I mentioned above)?


2) f(x)=x^3 (x^3 +4)(7x+2)
Determine the maximum possible number of turning points for the graph of the function.

thx!