$\"\"$

Consider the cubic polynomial equation $\"\"$ .

Find the inflection points.

Apply derivative with respect to $\"\"$ .

$\"\"$

Apply derivative with respect to $\"\"$ .

$\"\"$

Find the inflection points by equating the second derivative to zero.

$\"\"$

So the cubic polynomial function has precisely one inflection point.

$\"\"$

Cubic polynomial function has precisely one inflection point.