Factor completely. Select "Prime" if the polynomial cannot be factored. $$ -12-t+t^{2} $$ $$ -12-t+t^{2}=\square $$

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Factor the expression $$ -12-t+t^{2} $$.
Factor the expression by following steps:
- step0: Factor:
  $$-12-t+t^{2}$$
- step1: Rewrite the expression:
  $$-12+\left(-4+3ight)t+t^{2}$$
- step2: Calculate:
  $$-12-4t+3t+t^{2}$$
- step3: Rewrite the expression:
  $$-4	imes 3-4t+t	imes 3+t	imes t$$
- step4: Factor the expression:
  $$-4\left(3+tight)+t\left(3+tight)$$
- step5: Factor the expression:
  $$\left(-4+tight)\left(3+tight)$$
- step6: Factor the expression:
  $$-\left(4-tight)\left(3+tight)$$
The factored form of the polynomial $$ -12-t+t^{2} $$ is $$ -(4-t)(3+t) $$.
$$ -12 - t + t^{2} = -(4 - t)(3 + t) $$

Factor completely. Select "Prime" if the polynomial cannot be factored. \( -12-t+t^{2} \) \( -12-t+t^{2}=\square \)

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