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 five real zeros and four turning poins.
Find all the real zeros by factorize the function.
\Factorise the function by equating
.
and
and
.
Therefore and
.
Hence the real zeros are ,
and
.
The degree of the function is ,hence the function have at most five real zeros and four turning points.
The real zeros are ,
and
.