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Answer:

A number that is multiplied by a variable in an algebraic expression is called coefficient.

Step-by-step explanation:

We are asked to determine the word used for a number that is multiplied by a variable in an algebraic expression.

We know that an algebraic expression is in form [tex]5x+2[/tex], where x is a variable, [tex]5x[/tex] is known as term and 2 is known as constant.

The number or constant, which is multiplied by variable is known as coefficient, therefore, the correct word would be coefficient.

A number that is multiplied by a variable in an algebraic expression is called a coefficient and this can be proved by using the generalized quadratic equation.

A number that is multiplied by a variable in an algebraic expression is called a coefficient.

The above statement can be elaborated by using the generalized form of the quadratic equation which is given by:

[tex]ax^2+bx+c=0[/tex]

where x is the variable, 'a' is the coefficient of [tex]x^2[/tex], 'b' is the coefficient of x, and c is the constant term.

For example  ---  [tex]6x^2+7x+5=0[/tex]

In the above quadratic equation, 6 is the coefficient of [tex]x^2[/tex], 7 is the coefficient of x, and 5 is the constant term.

For more information, refer to the link given below:

https://brainly.com/question/2535348