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In Mathematics / College | 2025-07-04

Identify the coefficient of [tex]$17 x y^3 z^{12}$[/tex]
A) 12
B) 17
C) 3
D) 1

Asked by dorthiepatton983

Answer (1)

The coefficient of a term is the numerical factor that multiplies the variables.
In the term 17 x y 3 z 12 , identify the numerical factor.
The numerical factor is 17.
Therefore, the coefficient is 17 ​ .

Explanation

Understanding the Problem The problem asks us to identify the coefficient of the term 17 x y 3 z 12 . The coefficient is the numerical factor multiplying the variables.

Identifying the Coefficient In the term 17 x y 3 z 12 , the numerical factor is 17. Therefore, the coefficient is 17.

Final Answer The coefficient of the term 17 x y 3 z 12 is 17.


Examples
In algebra, identifying coefficients is crucial for solving equations and understanding relationships between variables. For example, in the equation y = 5 x + 3 , the coefficient '5' tells us how much 'y' changes for every unit change in 'x'. This concept is used in various real-world applications, such as calculating the slope of a line in coordinate geometry, determining the rate of change in physics, or analyzing data trends in economics. Understanding coefficients helps in making predictions and informed decisions based on mathematical models.

Answered by GinnyAnswer | 2025-07-04

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