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Degree (mathematics)



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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

References

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