Factor. \[ 8 t^{2}+2 t \] Select the correct choice below and fill in any answer boxes within your choice. A. $8 \mathrm{t}^{2}+2 \mathrm{t}=\square$ B. There is no common factor except 1.

Step 1 ：The given expression is a polynomial $8t^2 + 2t$.

Step 2 ：To factorize it, we need to find the common factors of the terms in the polynomial.

Step 3 ：The terms are $8t^2$ and $2t$.

Step 4 ：The common factor here is $2t$.

Step 5 ：So, the factored form of the given expression is $2t(4t+1)$.

Step 6 ：\(\boxed{8t^2 + 2t = 2t(4t+1)}\)