Factor the given trinomial. If the trinomial cannot be factored, indicate "Not Factorable". \[ x^{2}+4 x-12 \]

To factor the trinomial \( x^{2}+4x-12 \), we are looking for two numbers that multiply to \(-12\) (the constant term) and add to \(4\) (the coefficient of the linear term). The numbers \(6\) and \(-2\) fit this requirement since \(6 \times -2 = -12\) and \(6 + (-2) = 4\). Thus, we can factor the trinomial as: \[ (x + 6)(x - 2) \] So the factored form of \( x^{2}+4x-12 \) is \( (x + 6)(x - 2) \).