Chatty reference · maths1 week 4
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2026-08-16T00:00:00.000Z
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ChatGPT archive slice for week 4. # 4.
4. Maths Week 4 — Algebra of Polynomials
Officially this includes polynomial arithmetic, algorithms, polynomial graphs and polynomial creation. citeturn1view0
Concepts
- Polynomial expressions
- Addition
- Subtraction
- Multiplication
- Division
- Polynomial algorithms
- Roots / -intercepts
- Multiplicity
- End behaviour
- Turning points
- Polynomial graphing
- Constructing polynomials
Pattern families
Easy
- Add/subtract polynomials.
- Multiply.
- Evaluate polynomial.
- Identify degree.
- Identify leading coefficient.
Medium
- Polynomial division.
- Factorization.
- Roots → polynomial.
- Polynomial → graph characteristics.
Hard
- Multiplicity + graph behaviour.
- Determine unknown coefficients from constraints.
- Reconstruct polynomial from roots/points.
- Reason about end behaviour without fully expanding.
Important mental model
A polynomial isn't merely:
"some algebraic expression."
Think of it simultaneously as:
Quiz questions can move between those representations.