Function Repository Resource:

PolynomialTotalDegree

Get the total degree of a polynomial in any number of variables

Contributed by: Wolfram Staff

ResourceFunction["PolynomialTotalDegree"][f,vars]

gives the total degree of f in the variables vars.

Examples

The term of highest degree is x²y with total degree 3:

In[1]:=

$ResourceFunction["PolynomialTotalDegree"][(x^2 + x + 1) y, {x, y}]$

Out[1]=

Since xSin[x] is not a polynomial, the input here is returned unevaluated:

In[2]:=

Out[2]=

This works, though:

In[3]:=

Out[3]=