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. 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 .
- Fundamental theorem of algebra, a theorem which states that a polynomial of degree has complex roots.
- ↑ "Comprehensive List of Algebra Symbols". Math Vault. 2020-03-25. Retrieved 2020-08-31.
- ↑ "Degree (of an Expression)". www.mathsisfun.com. Retrieved 2020-08-31.
- ↑ Weisstein, Eric W. "Polynomial Degree". mathworld.wolfram.com. Retrieved 2020-08-31.