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Definitions from WordNet

Definitions from the Web

Degree of a Term

Description:

In mathematics, the degree of a term refers to the exponent of the variable present in the term. It indicates the power to which the variable is raised and plays a crucial role in polynomial equations. The degree of a term helps determine various properties of polynomial functions.

Senses and Usages:

1. Mathematics - Polynomial Degree: The degree of a term in a polynomial determines the highest power of the variable present in that term. It helps classify polynomials and is used for solving equations.

Example sentence: "In the polynomial equation 3x^2 - 4x + 2, the degree of the term '3x^2' is 2."

2. Mathematics - Monomial Degree: The degree of a monomial refers to the sum of the exponents of its variables. It aids in simplifying expressions and evaluating limits.

Example sentence: "The monomial 5x^3y^2 has a degree of 5 since the sum of the exponents of variables 'x' and 'y' is 3 + 2 = 5."

3. Mathematics - Degree of Differentiation: The degree of differentiation represents the number of times a function is differentiated. It helps analyze the behavior and characteristics of functions.

Example sentence: "The degree of differentiation for the function f(x) = 3x^2 - 4x + 2 is 1 since it has been differentiated once."

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