Polynomial and Rational Functions · Algebraic Thinking

Characteristics of Polynomials

Analyzing end behavior, turning points, and zeros to determine the nature of polynomial functions.

Key Questions

  1. 1How does the degree of a polynomial dictate its long term behavior at the boundaries of the domain?
  2. 2Why must a polynomial of odd degree have at least one real root while an even degree polynomial may have none?
  3. 3What is the relationship between the multiplicity of a root and the local behavior of the graph at the x-axis?

Ontario Curriculum Expectations

ON: Polynomial and Rational Functions - Grade 12
Grade: Grade 12
Subject: Mathematics
Unit: Polynomial and Rational Functions
Period: Algebraic Thinking

Suggested Methodologies

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