In which of the following expressions does the x term, or linear term, have a coefficient of −1?

A) 3x^2 - x - 4
B) 2x^2 + 6x - 1
C) -2x^2 + x + 7
D) -x^2 + 3x +1

1 answer

To find the expression where the coefficient of the linear term (the term with \( x \)) is \(-1\), we need to look at the \( x \) term in each expression.

A) \( 3x^2 - x - 4 \)
The coefficient of \( x \) is \(-1\).

B) \( 2x^2 + 6x - 1 \)
The coefficient of \( x \) is \( 6 \).

C) \( -2x^2 + x + 7 \)
The coefficient of \( x \) is \( 1 \).

D) \( -x^2 + 3x + 1 \)
The coefficient of \( x \) is \( 3 \).

The only expression with a linear term coefficient of \(-1\) is:

A) \( 3x^2 - x - 4 \).