In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression (including variables such as a, b and c).

1 : any of the factors of a product considered in relation to a specific factor especially : a constant factor of a term as distinguished from a variable. 2a : a number that serves as a measure of some property or characteristic (as of a substance, device, or process) coefficient of expansion of a metal. b : measure.

The coefficient value signifies how much the mean of the dependent variable changes given a one-unit shift in the independent variable while holding other variables in the model constant. The coefficients in your statistical output are estimates of the actual population parameters.

A coefficient is a number in front of a variable. For example, in the expression x 2-10x+25, the coefficient of the x 2 is 1 and the coefficient of the x is -10. The third term, 25, is called a constant.

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A coefficient is a real number in front of a variable that determines the value of the term in a mathematical expression. On the other hand, a constant is a number that has a fixed value and its value does not change over time.

A numerical coefficient is a constant multiplier of the variables in a term. In the term -5x2y, the numerical coefficient is -5. In the expression ax2 + bx + c, the numerical coefficient of the x2 term is “a” and the numerical coefficient of the x term is “b”. “c” is properly referred to as the constant term.

Thus in 5xy, 5 is the coefficient of the term.

The coefficient of y in −3xy is −3x.

Answer. Coefficient of Y is 10 in (5-y)^2.

Coefficient of y in 14x3y is 14×3. Coefficient of x in 12x is 12. Note that if there is only one variable, “coefficient of x” is the same as the numerical coefficient. Degree of a term: The sum of the exponents of the term’s variables.

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Answer. Step-by-step explanation: it is 4x….

The coefficient of y in -7xy is -7x.

The literal coefficient of ‘-3z’ is ‘z’.

The numerical coefficient is define as the fixed number that is multiplied to th variable. So in this expression X2 Y2, 2 is coefficient of X AND 2 is coefficient of Y.

A factor which contains at least one letter, in product form of a term is called a literal coefficient of the remaining factor. For eg. 1. 4a2xy: 4 x a2xy , 4 is a number and a2xy has three letters a, x, y. So, a2xy is called Literal coefficient.

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Leading coefficients are the numbers written in front of the variable with the largest exponent. For example, in the equation -7x^4 + 2x^3 – 11, the highest exponent is 4. The coefficient for that term is -7, which means that -7 is the leading coefficient.

Answer: The literal coefficient of -9xyz is xyz.

Numerical coefficient is the constant multiplicative factors attached to the variables in an expression. Literal coefficient is the variable that follows the number.

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Terms obey the associative property of multiplication – that is, xy and yx are like terms, as are xy2 and y2x.

A monomial is a polynomial that consists of exactly one term. A binomial is a polynomial that consists of exactly two terms. Finally, a trinomial is a polynomial that consists of exactly three terms.