Unit 7: Advanced Polynomial Functions
This unit builds on your knowledge of quadratics to explore advanced polynomial functions. You will learn to analyze graphs, apply factoring techniques, use the Remainder and Factor Theorems, perform synthetic division, find zeros of polynomials, and understand the Fundamental Theorem of Algebra.
Unit Goals
- Analyze polynomial functions: degree, leading coefficient, and end behavior.
- Identify turning points and use graph behavior to estimate roots.
- Apply the Remainder and Factor Theorems to evaluate and factor polynomials.
- Perform synthetic division and use it to simplify polynomial division.
- Find all zeros of polynomial functions and relate them to multiplicity and graph shape.
- Understand the statement and implications of the Fundamental Theorem of Algebra.