# How do you determine if a function is polynomial?

**polynomial**equation of

**function**is of the form y = ax^n + bx^(n-1) + . . . + c, where a, b, c, are real numbers and n is a positive integer. A

**polynomial**cannot have more than one independent variables and it cannot have a negative or rational exponent.

Also to know is, what makes something a polynomial?

In mathematics, a **polynomial** is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a **polynomial** of a single indeterminate, x, is x^{2} − 4x + 7.

Subsequently, question is, what is a zero polynomial? **Zero Polynomial**. The constant **polynomial**. whose coefficients are all equal to 0. The corresponding **polynomial** function is the constant function with value 0, also called the **zero** map. The **zero polynomial** is the additive identity of the additive group of **polynomials**.

Correspondingly, what makes a function not polynomial?

In particular, for an expression to be a **polynomial** term, it must contain **no** square roots of variables, **no** fractional or negative powers on the variables, and **no** variables in the denominators of any fractions. Here are some examples: This is **NOT** a **polynomial** term because the variable has a negative exponent.

What Cannot be a polynomial?

Rules: What ISN'T a **Polynomial** **Polynomials cannot** contain division by a variable. For example, 2y^{2}+7x/4 is a **polynomial**, because 4 is not a variable. However, 2y2+7x/(1+x) is not a **polynomial** as it contains division by a variable. **Polynomials cannot** contain negative exponents.