Factor the following trinomial. \[ x^{2}+6 x+5 \] Select the correct choice below and, if nee A. \( x^{2}+6 x+5=\square \) (Type your answe B. The polynomial is primu:

1. To factor the trinomial \( x^{2}+6x+5 \), we look for two numbers \( a \) and \( b \) such that: - \( a + b = 6 \) - \( a \times b = 5 \) 2. The numbers \( 1 \) and \( 5 \) satisfy these conditions because: - \( 1 + 5 = 6 \) - \( 1 \times 5 = 5 \) 3. Thus, we can write: \[ x^{2}+6x+5 = (x+1)(x+5) \] The correct answer is A: \( x^{2}+6x+5=(x+1)(x+5) \).