## How do you know how many turning points a polynomial has?

The maximum number of turning points of a polynomial function is always **one less than the degree of the function. A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising).**

## How do you determine the number of turning points?

First, identify the leading term of the polynomial function if the function were expanded. Then, identify the degree of the polynomial function. This polynomial function is of degree 4. The maximum number of turning points is **4 1 3**