Polynomial Functions
End behaviour read off the leading term, zeros and the multiplicity that decides crossing from bouncing, polynomial division with the Remainder and Factor Theorems, and the cube identities and structural substitutions that extend factoring past degree two — plus what a polynomial model can and cannot be asked.
Builds on
Factoring from IM2 Unit 2 and the parabola from IM2 Unit 3 — the same ideas, now with the degree allowed to rise.
Lessons
- 01Degree, Leading Coefficient and the Shape of the Ends
- 02Zeros, Multiplicity and Sketching from Factors
- 03Polynomial Division and the Remainder Theorem
- 04Operations, Identities and Polynomial Models
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