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The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials. The degree of a term is the sum of the exponents of the variables that appear in it.
By Jennifer Ledwith. Degree-The greatest exponent in a polynomial or equation. Example: 1  3 x 13 + 5 x 3 (Degree: 13). 2  h 5 + h 4 + h 8 + h 3 + h 12 + h 2 + 13 h (Degree: 12). 3  y = -5 b + 19 (Degree: 1; Note, b is raised to the 1 st power.). 4  Æ(x) = 5 x 9 - 5 (Degree: 9).