## 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=x*³ AND *y=x*⁴

## Concepts

- applying combinations of transformations to the graphs of
*y=x*³ and*y=x*⁴

## Student Resources

## Relevant Links

## Unit Review

## Concepts

- review of all concepts covered in the Polynomial Functions unit