coefficient
In mathematics, a coefficient refers to the numerical factor that is multiplied by a variable in an algebraic expression or equation
In mathematics, a coefficient refers to the numerical factor that is multiplied by a variable in an algebraic expression or equation. It is the number that is attached to the variable to indicate how many times it should be multiplied.
For example, consider the algebraic expression 3x. Here, the variable is x, and the coefficient is 3. This means that x should be multiplied by 3. Likewise, in the equation 2y + 5 = 15, the coefficient of y is 2, indicating that y should be multiplied by 2.
Coefficients can be positive or negative, depending on whether the variable is multiplied by a positive or negative number. For instance, in the equation -2x = 10, the coefficient of x is -2, meaning that x should be multiplied by -2.
Coefficients are essential in algebraic operations such as simplifying expressions, solving equations, and factoring polynomials. They play a crucial role in determining the relationships and values of variables in mathematical statements.
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