Thursday, June 10, 2010

Introduction on polynomials

Let us learn what is meant by polynomials,

let's say what a polynomial is: in words, it is a function that is built by simply adding together some power functions. For example,

\[  f(x) = -2x^4 -x^2 + 3x + 1.   \]

More generally, a polynomial can be written as

\[  f(x) = a_nx^n + a_{n-1} x^{n-1} + \ldots + a_1 x + a_0.   \]

The highest power that occurs in the polynomial, in this case n, is called the degree of the polynomial. Degree 2 polynomials are usually called quadratic polynomials and should be quite familiar; for instance, their graphs are parabolas. The numbers ai in front of the powers are called coefficients.

Hope the above explanation helped you.


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