In the quadratic expression \(3x^2 + 5x - 12\), the coefficients can be identified as follows:
- The coefficient of \(x^2\) (the quadratic term) is \(3\).
- The coefficient of \(x\) (the linear term) is \(5\).
- The constant term (which does not have \(x\) associated with it) is \(-12\).
Thus, the correct list of coefficients for the quadratic expression \(3x^2 + 5x - 12\) is:
- \(a = 3\) (coefficient of \(x^2\))
- \(b = 5\) (coefficient of \(x\))
- \(c = -12\) (constant term)
In summary, the coefficients are \(3\), \(5\), and \(-12\).