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polynomial

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Polynomial


In mathematics, an algebraic expression that has one or more variables (denoted by letters). A polynomial equation has the form:

f(x) = anxn + an-1xn-1 + … + a2x2 + a1x + a0

where an, an-1, …, a0 are all constants, n is a positive integer, and an ≠ 0. Examples of polynomials are:

f(x) = 3x4 + 2x2 + 1

or

f(x) = x5 - 18x + 71

or

f(x) = 2x + 3

A polynomial of degree one, that is, whose highest power of x is 1, as in 2x + 1, is called a linear polynomial;

3x2 + 2x + 1 is quadratic;

4x3 + 3x2 + 2x + 1 is cubic.

© Research Machines plc 2008. All rights reserved. Helicon Publishing is a division of Research Machines plc.


 
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