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 7x0=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.