$\"\"$

A polynomial function $\"\"$ of degree $\"\"$ has at most $\"\"$ distinct real zeros and at most $\"\"$ tuning points.

$\"\"$

The function is $\"\"$ .

The degree of the function is $\"\"$ .

Since the degree of the function is $\"\"$ ( $\"\"$ ), the function $\"\"$ has at most $\"\"$ ( $\"\"$ ) distinct real zeros and at most $\"\"$ ( $\"\"$ ) turning points.

Find the real zeros by equating $\"\"$ to zero.

Solve the equation $\"\"$ by using factoring.

$\"\"$

Apply zero product property.

$\"\"$

Thus, there are no real zeros for the function $\"\"$ . $\"\"$

The number of possible real zeros are $\"\"$ .

Possible number of turning points are $\"\"$ .

No real zeros.