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 three real zeros and two turning poins.
Find all the real zeros by factorize the function.
\Factorise the function , substitute
.
and
and
.
Hence the three real zeros are ,
and
.
The degree of the function is ,hence the function have at most three real zeros and two turning points.
The three real zeros are ,
and
.