The polynomial is .

To find the degree of polynomial, you must find the degree of each term or monomial.

The degree of a monomial is the sum of the exponents of all its variables.

The monomial is , so its degree .

The monomial is , so its degree .

The monomial is , so its degree .

The monomial is a nonzero constant, so its degree .

The degree of a polynomial is the greatest degree of any term in the polynomial.

In the above polynomial greatest degree is 5, so its degree is 5 and then it is called quintic polynomial.

In the above polynomial, two operations (addition and subtraction) involves between four terms.

So it is called polynomial (more than 3 terms called polynomial).

The polynomial name according to degree and number of terms is quintic polynomial.

The polynomial, name is quintic polynomial.