Question

What is the coefficient of the parenteses (9x - 6)? Notice that there is a negative or subtraction in front, so what are we distributing over these parentheses?

Answer 1

To determine the coefficient of the expression \( (9x - 6) \) when there's a negative sign in front, we need to distribute the negative sign over the terms inside the parentheses. This means we can express the operation as:

\[
- (9x - 6)
\]

Distributing the negative sign:

\[
- (9x) + (-(-6)) = -9x + 6
\]

Now, we can identify the coefficients from the simplified expression:

- The coefficient of \( x \) in \( -9x \) is \(-9\).
- The constant term is \( 6\).

Thus, the coefficient of \( (9x - 6) \) when distributed with the negative sign is \( -9 \).