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Polynomial functions

Polynomial functionsmc-TY- Polynomial -2009-1 Many common functions are Polynomial functions . In this unit we describe Polynomial functionsand look at some of their order to master the techniques explained here it is vital that you undertake plenty of practiceexercises so that they become second 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 thepolynomial, 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 is a Polynomial ?

The function f(x) = 0 is also a polynomial, but we say that its degree is ‘undefined’. www.mathcentre.ac.uk 2 c mathcentre 2009. 3. Graphs of polynomial functions We have met some of the basic polynomials already. For example, f(x) = 2is a constant function and f(x) = 2x+1 is a linear function. f(x) x 1

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