The total degree of a nonzero polynomial is the largest sum of exponents
in any of its nonzero monomials.
For example, 
has total degree 5, although its degree in 
is 4 and its degree
in 
is 3. For a univariate
polynomial, total degree agrees with polynomial
degree. A nonzero constant
has total degree 0.
Total Degree
See also
Boolean Fourier Expansion, Multivariate Polynomial, Polynomial, Polynomial Degree, Polynomial Threshold Function, Weighted Degree, Weighted Homogeneous PolynomialExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Total Degree." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TotalDegree.html