Answered

What is the coefficient of the [tex]$c[tex]$[/tex]-term in the algebraic expression [tex]$[/tex]14a - 72r - c - 34d?$[/tex]

A. [tex]-34[/tex]
B. [tex]-1[/tex]
C. [tex]0[/tex]
D. [tex]1[/tex]



Answer :

To determine the coefficient of the \(c\)-term in the algebraic expression \(14a - 72r - c - 34d\), let's carefully examine the expression:

[tex]\[ 14a - 72r - c - 34d \][/tex]

In this expression, the terms are separated by either plus or minus signs, indicating the coefficients that accompany each variable. We can identify the terms based on their respective variables:

- The coefficient of \(a\) is \(14\).
- The coefficient of \(r\) is \(-72\).
- The coefficient of \(d\) is \(-34\).

Now, let's focus on the term involving \(c\):

[tex]\[ - c \][/tex]

Here, there isn't a numerical coefficient explicitly written in front of \(c\). In algebra, when a variable stands alone with a minus sign, it implies that the numerical coefficient of that variable is \(-1\). Therefore, the coefficient of the \(c\)-term is \(-1\).

So the correct answer is:

[tex]\[ -1 \][/tex]