# How to know if an equation is a polynomial

Contents

## What makes an equation a polynomial?

A

**polynomial**function is an expression which consists of a single independent variable, where the variable can occur in the**equation**more than one time with different degree of the exponent.## How do you know if it is a 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.## Can 0 be a polynomial?

Like any constant value, the value

**0 can**be considered as a (constant)**polynomial**, called the**zero polynomial**. It has no nonzero terms, and so, strictly speaking, it has no degree either. As such, its degree is usually undefined.## Can 7 be a polynomial?

The degree of an individual term of a

**polynomial**is the exponent of its variable; the exponents of the terms of this**polynomial**are, in order, 5, 4, 2, and**7**. The degree of the**polynomial**is the highest degree of any of the terms; in this case, it is**7**.## Why is 7 a polynomial?

which is a constant

**polynomial**expression. Every**polynomial**expression is an algebraic expression so with this logic is**7**an algebraic expression or an arithmetic expression. Further**7**=5+2, is it an arithmetic equation or algebraic equation because it can also be written in**7**x0=5×0+2×0 form.## What is the degree of polynomial 7?

In the given question we can see there is no variable and and a constant that is root

**7**is given. For all constants the**degree**is always zero. Therefore the**degree**for the**polynomial**root**7**is “zero”.## What is and isn’t a polynomial?

All the exponents in the algebraic expression must be non-negative integers in order for the algebraic expression to be a

**polynomial**. As a general rule of thumb if an algebraic expression has a radical in it then it**isn’t a polynomial**.