Turning Points
This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.
State
A polynomial of degree n has at most n − 1 turning points — the places where rising hands off to falling or back.
Show
x³ − 3x + 2, degree 3, turns twice — near x = −1 and x = 1 — and can never turn a third time.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.