kidzsearch.com > wiki

# Degree (mathematics)

KidzSearch Safe Wikipedia for Kids.

For the corresponding concept in geometry, see Degree (angle).

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

For example, if we look at the polynomial [math]2x^3 - 7x^2 + 5x - 4[/math], 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 [math]x^3[/math].

The name of the variable is not important. For example, the polynomial [math]-6y^5 + 2y^3 - 25y - 58[/math] has degree 5, because the highest power of the variable, in this case y, is 5, which occurs in the term [math]y^5[/math].

## Related pages

- Fundamental theorem of algebra, a theorem which states that a polynomial of degree
*n*has*n*complex roots.

## References

- ↑ "Comprehensive List of Algebra Symbols" (in en-US). 2020-03-25. https://mathvault.ca/hub/higher-math/math-symbols/algebra-symbols/.
- ↑ "Degree (of an Expression)". https://www.mathsisfun.com/algebra/degree-expression.html.
- ↑ Weisstein, Eric W.. "Polynomial Degree" (in en). https://mathworld.wolfram.com/PolynomialDegree.html.