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# Degree (mathematics)

The degree of a polynomial $p(x)$, represented by the symbol $\deg (p(x))$, is the highest exponent that occurs inside that polynomial.[1][2][3]
For example, if we look at the polynomial $2x^3 - 7x^2 + 5x - 4$, then we can see that the degree of this polynomial is 3, because the highest power in the variable x is 3. It occurs in the term $x^3$.
The name of the variable is not important. For example, the polynomial $-6y^5 + 2y^3 - 25y - 58$ has degree 5, because the highest power of the variable, in this case y, is 5, which occurs in the term $y^5$.