The function is
.
The degree of the polynomial function
is
.
So there are possible real zeros are
.
Number of turning points are
.
Determine the real zeros by factoring:
\
Take out common factors.
\




Apply the zero product property.
\
and
.
and
.
Real zeros are
and
.
Number of possible real zeros are
, turning points are
.
Real zeros are
and
.