It is a linear combination of positive integer powers of one variable, eg x.
Powers of x are x multiplied by iteslf a number of times, eg x square (x2) or x to the power 6 (x6). The largest power of x is the degree of the polynomial.
A linear combination is a sum of terms each of which is a numerical multiple of these powers of x, eg 3x2 or 2.5x3. The coefficients of the powers of x may be integers, rationals, reals etc.
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Basically, a rational expression is one that can be written as one polynomial, divided by another polynomial.
9x5 -- 2x3 -- 8y+ 3This polynomial has four terms, including a fifth-degree term, a third-degree term, a first-degree term, and a constant term.This is a fifth-degree polynomial.4b4 + 9w2 + zThis polynomial has three terms, including a fourth-degree term, a second-degree term, and a first-degree term. There is no constant term.This is a fourth-degree polynomial.a one-term polynomial, such as 6x or 3x^2, may also be called a "monomial" ("mono" meaning "one")a two-term polynomial, such as 2x + f or 4x2 -- 7, may also be called a "binomial" ("bi" meaning "two")a three-term polynomial, such as 5x + h + s or x4 + 7d2 -- 4, may also be called a "trinomial" ("tri" meaning "three")hint: ^ means to the raised poweri got a little help with this but i hope this is what you were looking for?
In the equation 2x = 6 the coefficent of x is 2
this term 2x is not a polynomial. this term is a monomial. since only one term was listed it can not be a polynomial. A polynomial is like four or more terms. a trinomial is three terms and a binomial is two terms.
If a polynomial expression is derived from a word problem it has the same meaning as the word problem. Polynomial expressions that represent scientific laws have the specific meaning of that law.