What you will learn:

6.01 Division of polynomials
6.02 Remainder and factor theorems
6.03 Polynomial equations
6.04 Roots and coefficients of polynomial equations
6.05 Graphing polynomial functions
6.06 Multiple roots
6.07 The inverse of a function
6.08 Graphing the inverse of a function
6.09 Inverse functions

Outcomes:

• Divide polynomials and write them as products of their factors
• Understand and apply the remainder and factor theorems
• Solve polynomial equations
• Draw polynomial graphs using intercepts and limiting behaviour
• Understand multiplicity of roots and their effect on graphs
• Find and graph inverses of functions and identify whether the inverse is also a function
• Understand how to restrict the domain of a function so that its inverse is a function
• Understand properties of inverse functions