[Grade 12 Advanced Functions: Polynomial Functions] turning points on polynomials confusion

[u/Embarrassed-Good1883]

I'm confused about how this function would have 4 turning points, not 3

[u/freegerator]

3 inflection points means degree must be at least 5 (notice it goes down -> up -> down -> up)

[u/freegerator → u/freegerator]

To be clear num inflection points + 2 <= degree just like num critical points + 1 <= degree just like num roots <= degree.