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:
-
\(-x^2 + 3x + 1\): The coefficient of \(x\) here is \(3\).
-
\(2x^2 + 6x - 1\): The coefficient of \(x\) here is \(6\).
-
\(3x^2 - x - 4\): The coefficient of \(x\) here is \(-1\).
-
\(-2x^2 + x + 7\): The coefficient of \(x\) here is \(1\).
The expression that has a linear term with a coefficient of \(-1\) is:
\(3x^2 - x - 4\).