Coefficient
A number multiplied by a variable in an algebraic expression.
In mathematics, a coefficient is a numerical or constant factor that accompanies a variable or term in an expression. It is the multiplier of the variable or term and determines the degree of its effect on the overall expression. Coefficients can be either positive or negative.
For example, in the equation 2x + 3y = 12, 2 and 3 are coefficients. They indicate that the variable x is multiplied by 2 and y is multiplied by 3. The constant term 12 is not a coefficient since it is not attached to a variable.
Coefficients are used in many areas of mathematics, including algebra, calculus, statistics, and geometry. They are fundamental to many mathematical operations, such as solving linear equations, finding the derivatives of functions, and calculating the probabilities of events.
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