The equation is .
Find the number of posible real zeros and turning points.
\Consider the equation .
The degree of the function is ,hence the function have at most four real zeros and three turning poins.
Find all the real zeros by factorize the function.
\Factorise the function by equating
.
and
.
There fore and
Hence the four real zeros are ,
,
and
.
The degree of the function is ,hence the function have at most four real zeros and three turning points.
The four real zeros are ,
,
and
.