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 :

Sure, let's break down the given algebraic expression \(14a - 72r - c - 34d \) and determine the coefficient of the \( c \)-term.

1. Identify the \( c \)-term in the expression. The given expression is \( 14a - 72r - c - 34d \).
2. Notice that each term in an algebraic expression consists of a coefficient (numerical factor) and a variable part. For example, in the term \( 14a \):
- The coefficient is 14.
- The variable part is \( a \).

3. Similarly, for the \( c \)-term, we see it as \( -c \). The presence of the minus sign indicates that the coefficient of \( c \) is negative.
4. The coefficient of a variable is the number that multiplies the variable. In the \( c \)-term (\( -c \)), we can rewrite this as \( -1 \cdot c \) to make the coefficient explicitly visible.

Thus, the coefficient of the \( c \)-term is \( -1 \).

Therefore, the correct answer is:
[tex]\[ -1 \][/tex]