# Degree (mathematics)

The degree of a polynomial ${\displaystyle p(x)}$, represented by the symbol ${\displaystyle \deg(p(x))}$, is the highest exponent that occurs inside that polynomial.[1][2][3]

For example, if we look at the polynomial ${\displaystyle 2x^{3}-7x^{2}+5x-4}$, 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 ${\displaystyle x^{3}}$.

The name of the variable is not important. For example, the polynomial ${\displaystyle -6y^{5}+2y^{3}-25y-58}$ has degree 5, because the highest power of the variable, in this case y, is 5, which occurs in the term ${\displaystyle y^{5}}$.

## References

1. "Comprehensive List of Algebra Symbols". Math Vault. 2020-03-25. Retrieved 2020-08-31.
2. "Degree (of an Expression)". www.mathsisfun.com. Retrieved 2020-08-31.
3. Weisstein, Eric W. "Polynomial Degree". mathworld.wolfram.com. Retrieved 2020-08-31.