Polynomial Functions
Advanced Functions
MHF4U1 (Grade 12 University Preparation)
Introduction to Polynomial Functions
Concepts
- definition of a polynomial expression
- degree of a polynomial expression
- leading coefficient of a polynomial expression
- names and shapes of polynomial functions
- properties for describing polynomial functions
- finite differences of polynomial functions
Relevant Links
Characteristics of Polynomial Functions
Concepts
- end behaviour of polynomial functions
- zeros of polynomial functions
- turning points of polynomial functions
Student Resources
Relevant Links
Polynomial Functions in Factored Form
Concepts
- equations of polynomial functions in factored form
- zeros of polynomial functions
- sketching graphs of polynomial functions
- determining equations of polynomial functions
- order of factors of polynomial functions
- families of polynomial functions
Student Resources
Relevant Links
Dividing Polynomials
Concepts
- dividing polynomials using long division
- dividing polynomials using synthetic division
Student Resources
Relevant Links
Factoring Polynomials
Concepts
- the Remainder Theorem
- the Factor Theorem
- factoring polynomials
- determining zeros of polynomial functions
- sketching graphs of polynomial functions
Student Resources
Relevant Links
Factoring Sums and Differences of Cubes
Concepts
- factoring sums of cubes
- factoring differences of cubes
- functions involving sums and differences of cubes
Student Resources
Relevant Links
TRANSFORMATIONS OF y=x³ AND y=x⁴
Concepts
- applying combinations of transformations to the graphs of y=x³ and y=x⁴
Student Resources
Relevant Links
Unit Review
Concepts
- review of all concepts covered in the Polynomial Functions unit