highest power of the variables occurring in a monomial in a given polynomial From Wikipedia, the free encyclopedia

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 .

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

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