Degree (mathematics)

highest power of the variables occurring in a monomial in a given polynomial

The degree of a polynomial is the highest exponent that occurs inside that polynomial.[1][2][3] It is represented by the symbol .

For example, if we look at the polynomial , then we can see that the degree of this polynomial is , because the highest power in the variable is . It occurs in the term .

The name of the variable is not important. For example, the polynomial has degree , because the highest power of the variable, in this case , is , which occurs in the term .

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References

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  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.