Problem
Factor the trinomial completely. \[ 8 t-33+t^{2} \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $8 \mathrm{t}-33+\mathrm{t}^{2}=\square$ (Factor completely.) B. The polynomial is prime.
Solution
Step 1 ：Rearrange the trinomial $8 t-33+t^{2}$ to the standard form $t^{2} + 8t - 33$
Step 2 ：Factorize the trinomial $t^{2} + 8t - 33$ into $(t - 3)(t + 11)$
Step 3 ：\(\boxed{8 t-33+t^{2} = (t - 3)(t + 11)}\)
