In which of the following expressions does the x

Question

term, or linear term, have a coefficient of −1
?(1 point)
Responses

3x2−x−4
3 x squared minus x minus 4

2x2+6x−1
2 x squared plus 6 x minus 1

−2x2+x+7
negative 2 x squared plus x plus 7

−x2+3x+1
negative x squared plus 3 x plus 1

Answer 1

The expression that has a linear term (the \( x \) term) with a coefficient of \(-1\) is:

3x² - x - 4

In this expression, the linear term is \(-x\), which is the same as \(-1x\), indicating that the coefficient is indeed \(-1\).

To clarify, here are the coefficients of the linear terms in each expression:

1. \( 3x^2 - x - 4 \) → coefficient of \( x \) is \(-1\)
2. \( 2x^2 + 6x - 1 \) → coefficient of \( x \) is \( 6\)
3. \( -2x^2 + x + 7 \) → coefficient of \( x \) is \( 1\)
4. \( -x^2 + 3x + 1 \) → coefficient of \( x \) is \( 3\)

So the correct answer is the first expression: 3x² - x - 4.