In which of the following expressions does the x

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

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

2x2+6x−1
2 x squared plus 6 x minus 1

3x2−x−4
3 x squared minus x minus 4

−2x2+x+7

1 answer

To identify which of the given expressions has a linear term (the \(x\) term) with a coefficient of \(-1\), let's examine the coefficient of the \(x\) term in each expression:

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

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

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

  4. \(-2x^2 + x + 7\): The coefficient of \(x\) here is \(1\).

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

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