# Is #f(x)=2x^2+4# a polynomial function?

##### 1 Answer

Yes it is.

#### Explanation:

A polynomial consists of a term or terms, each term has a constant (a number), possibly

If the polynomial has just one term, it is called a monomial.

The constant (number) in the term is called the coefficient.

("terms" are thing thar are added together, "factors" are things that are multiplied)

Here are some examples of polynomials (compare to the definition given above)

The polynomials above have integer coefficient, the next polynomial has rational number coefficients:

Notice: (1) we do not usually write terms that have

(2) we usually do not write a coefficient that is

The following two examples are not polynomials:

**not** a polynomial -- polynomials do not have the variable in the denominator.

**not** a polynomial -- polynomials do not have roots of the variable.

But