16 Factor the trinomial, or state that the trinomial is prime. \[ 11 x^{2}-21 x-2 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( 11 x^{2}-21 x-2=\square \) (Factor completely.) B. The polynomial is prime.

To factor the trinomial \( 11 x^{2}-21 x-2 \), we can look for two numbers that multiply to \( 11 \times -2 = -22 \) and add up to \(-21\). The numbers \(-22\) and \(1\) fit this criteria. We can then rewrite the middle term using these numbers and factor by grouping: \[ 11x^2 - 22x + x - 2 = (11x^2 - 22x) + (x - 2) = 11x(x - 2) + 1(x - 2) = (11x + 1)(x - 2) \] So, the factored form is: A. \( 11 x^{2}-21 x-2=(11x + 1)(x - 2) \)