Friday, May 20, 2011

Polynomials

Generally, polynomials are functions of

f(x) = anxn + an-1xn-1 + ... + a1x + a0,

where

n is the degree of the polynomials and it must be positive integer,
an is the leading coefficient of the polynomials and
ai are coefficients.


Table below shows some examples of polynomials:

FunctionDegreeLeading CoefficientType of Polynomial
404Constant
5x + 115Linear
25 - x22-1Quadratic
(x-1)2(1-2x)3-2Cubic
(x-1)2(3x-1)249Quartic

The domain for polynomial is always (-∞,∞); while the range is also (-∞,∞) for odd degree but for even degree we have to find it according to the function given.

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