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 a nonzero constant, so its degree
.
The monomial is
, 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 7, so its degree is 7.
The degree of a polynomial
is 7.