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# What is a polynomial?

A Polynomial is any algebraic expression that consists of more than2 terms in which the only allowable exponents are whole numbers,the variable is never used as a divisor and …never appears under aradical sign. Technically, many consider polynomials to consist of4 terms or more because 2 and 3 term equations are named. .
Monomial (One term): 3w .
Binomial (Two terms): 3w - 4x .
Trinomial (Three terms): 3w - 4x + 6y .
Polynomial (2-3+ terms): 3w - 4x + 6y + 7z A polynomial in x is an expression that can be written in theform: a*x n + b*x n-1 + ... +c*x 0 Where 'n' is a non-negative integer, 'a', 'b', and 'c' are constantscalars, where a â 0. In algebra class, it is usually written in the form of a function fsuch as: f(x) = 3x 2 + 4x 1 + 1x 0 =3x 2 +4x+1 Any value of x for which f(x) = 0 is a root of the equation and azero of the function. A polynomial is a finite length expressionconstructed from variables (also known as indeterminates) andconstants, by using the operations of addition, subtraction,multiplication, and constant non-negative whole number exponents.For example, x 2 â 4 x + 7 is apolynomial, but x 2 â 4/ x +7 x 3/2 is not, because its second term involvesdivision by the variable x and also because its third termcontains an exponent that is not a whole number. ( Full Answer )