In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature.

After reading this text, and/or viewing the video tutorial on this topic, you should be able to:

• recognise when a rule describes a polynomial function, and write down the degree of the polynomial,
• recognize the typical shapes of the graphs of polynomials, of degree up to 4,
• understand what is meant by the multiplicity of a root of a polynomial,
• sketch the graph of a polynomial, given its expression as a product of linear factors.

Contents

• Introduction
• What is a polynomial?
• Graphs of polynomial functions
• Turning points of polynomial functions
• Roots of polynomial functions

Summary on tutorial Polynomial functions

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