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.

Answer

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Answer

$\boxed{8 t-33+t^{2} = (t - 3)(t + 11)}$

Steps

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 ：$\boxed{8 t-33+t^{2} = (t - 3)(t + 11)}$