In which of the following expressions does the xx term, or linear term, have a coefficient of −1−1 ?(1 point) Responses 3x2−x−43x2−x−43 x squared minus x minus 4 2x2+6x−12x2+6x−12 x squared plus 6 x minus 1 −x2+3x+1−x2+3x+1negative x squared plus 3 x plus 1 −2x2+x+7

1 answer

To identify which of the given expressions has a linear term with a coefficient of \(-1\), we need to look for the term that is of the form \(bx\) where \(b = -1\).

Let's analyze each expression:

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

  2. \(2x^2 + 6x - 12\): The coefficient of the linear term \(6x\) is \(6\).

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

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

From these, the only expression where the linear term has a coefficient of \(-1\) is \(3x^2 - x - 4\).

Thus, the correct response is: \(3x^2 - x - 4\).