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Function where f is a polynomial is a polynomial function

 

It is of the form

f: R → R

f(x)  = a 0 + a 1 x + a 2 x 2 +  …… + a n x n ,

where n is a non-negative integer (i.e. n is 0, 1, 2, 3, ….)

and a 0 , a 1 , a 2 , a 3 …. a n R , i.e. a 0 , a 1 , a 2 , a 3 …. a n  are all real  numbers

 

Example

f(x) = x 3 – 3x 2 + 4x + 2

f(x) = x 19 – 81

 

Let us look at some common polynomial functions like

f(x) = x 2

f(x) = x 3

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.