Thursday, January 20, 2011

Polynomial Functions

Hey guys its Deep here
Today in our maths class we did graphs of polynomial functions.Mr.p told us about wabbitemu and infinite algebra and i like it very much.Before doing graphs we must know what is a polynomial function.A polynomial function is a function that can be defined by evaluating a polynomial. A function ƒ of one argument is called a polynomial function if it satisfies

 f(x) = a_n x^n + a_{n-1} x^{n-1} + \cdots + a_2 x^2 + a_1 x + a_0 \,
for all arguments x, where n is a non-negative integer and a0, a1,a2, ..., an are constant coefficients.
For example, the function ƒ, taking real numbers to real numbers, defined by
 f(x) = x^3 - x\,
is a polynomial function of one argument. Polynomial functions of multiple arguments can also be defined, using polynomials in multiple variables, as in
f(x,y)= 2x^3+4x^2y+xy^5+y^2-7.\,

So, there are some things to remember .They are as follows:-
The term containing the highest power of x is called the leading term and its coefficent is referred to as the leading coefficent . the power of x contained in the leading term is called the degree of the polynomial.

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