What is a Polynomial?

1 Answer
Nov 12, 2014

Polynomial Function of Degree n

A polynomial function #f(x)# of degree #n# is of the form

#f(x)=a_nx^n+a_{n-1}x^{n-1}+cdots+a_1x+a_0#,

where #a_n# is a nonzero constant, and #a_{n-1},a_{n-2},...,a_0# are any constants.


Examples

#f(x)=x^2+3x-1# is a polynomial of degree 2, which is also called a quadratic function.

#g(x)=2+x-x^3# is a polynomial of degree 3, which is also called a cubic function.

#h(x)=x^7-5x^4+x^2+4# is a polynomial of degree 7.


I hope that this was helpful.