In mathematics, a polynomial is an expression in which a finite number of constants and variables are combined using only addition, subtraction, multiplication, and positive whole number exponents (raising to a power).
A polynomial function is a function defined by evaluating a polynomial. For example, the function f defined by f(x) = x3−x is a polynomial function. Polynomial functions are an important class of smooth functions; smooth meaning that they are infinitely differentiable, i.e., they have derivatives of all finite orders.
Because of their simple structure, polynomials are easy to evaluate, and are used extensively in numerical analysis for polynomial interpolation or to numerically integrate more complex functions.
2006-07-27 20:51:36
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answer #1
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answered by sexy_diva 2
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In mathematics, a polynomial is an expression in which constants and variables are combined using only addition, subtraction, multiplication, and positive whole number exponents. Thus,
2 x^2 y z^3 - 3 y^2 + 5 y z - 2 \,
is a polynomial, but
{1 \over x^2 + 1} \,
is not a polynomial.
2006-07-28 03:49:59
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answer #2
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answered by modcaps 2
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An n-th degree polynomial of a variable x is an expression of the form
a[n]*x^n+a_[n-1]*x^(n-1)+...+a[2]*x^2+a[1]*x+a[0].
Here, a[n], a[n-1], ..., a[2], a[1] and a[0] are arbitrary real numbers, and x is a variable (an unknown).
For example, x^2-2*x+3 is a second degree polynomial, 10*x-7 is a first-degree polynomial and a polynomial of degree 0 is just a number.
In other words, n-th degree polynomials are expressions which may only contain powers of an unknown up to the power n, and these powers can be multiplied by arbitrary numbers and then added.
One can also talk about polynomials of several variables. If you're interested in further facts about polynomials, I recommend you to visit http://en.wikipedia.org/wiki/Polynomial.
2006-07-28 04:09:11
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answer #3
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answered by ted 3
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a math equation
2x -monomial
2x-3 -binomial
1x+2x-3 -trinomial
any equation that has a variable and/or a term is a polynomial
more specific an equation that has one term is a monomial, 2 terms is a binomial, 3 terms is a trinomial, but all are considered polynomials
2006-07-28 04:03:00
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answer #4
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answered by DaOgs 3
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A polynomial is a Mathematical Phrase containing terms made of a constant and a variable. It is not only made of one term because it may be 2 or perhaps maybe 3.
2006-07-28 09:55:23
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answer #5
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answered by xavierbondoc_15 1
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a polynomial in mathematics is an equation of degree more than 2.
A 2 degree equation is called a binomial,
eg: ax^2+bx+c=0;is an equation wiht highest power 2,hence its order is 2 and is a binomial.
where a,b,c are positive constants and a not equal to 0
A polynomial looks like
(a0)x^n+(a1)x^(n-1)+(a2)x^(n-2)........+(aN)
where a0,a1,a2,.....aN ----- are constants while x is the variable.a0 not equal to zero.The above equation is a general equation of order n.
2006-07-28 04:07:31
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answer #6
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answered by abhikprince 1
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It's a number or expression that has two or more terms. A bi-nomial has two terms. These terms are separated by (+) or (-). For example a+2b-4c-6x+10 is a polynomial.
2006-08-01 01:23:27
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answer #7
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answered by Anonymous
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Polynominals is an mathematical expression is the use of numbers.
a polynominal with one term is called a monomials
example
7x²
9
-5a²b²
a polynominal with two terms is called a binominals
Example
3x -5
5a² + 7bc
-6x² +5
a polynominal with three terms is called a Trinominals
Example
2x² - 5x + 9
5x²- 7² + 6
3x+ 5x + 7
2006-07-28 07:57:58
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answer #8
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answered by SAMUEL D 7
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polynomial?well...an equation with more than 2 terms.
2006-07-28 03:59:00
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answer #9
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answered by Anonymous
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In science, people used to name things based on how they looked. They had multiple names. (All in latin) You could have a tree who's scientific name is 15 "names" long. In today's world, we use binomials. Like Homo sapiens. Hope that helps.
2006-07-28 03:49:10
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answer #10
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answered by Chris P 2
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