Factor the given polynomial completely \[ x(x+13)-2(x+13) \] Select the correct choice below and fill in any answer boxes within your choic A. \( x(x+13)-2(x+13)= \) B. The polynomial cannot be factored

To factor the polynomial \( x(x + 13) - 2(x + 13) \) completely, follow these steps: 1. **Identify the Common Factor**: Both terms \( x(x + 13) \) and \( -2(x + 13) \) contain the common factor \( (x + 13) \). 2. **Factor Out the Common Term**: \[ x(x + 13) - 2(x + 13) = (x + 13)(x - 2) \] So, the factored form of the polynomial is: \[ (x + 13)(x - 2) \] **Answer Choice A is correct:** \[ x(x + 13) - 2(x + 13) = (x + 13)(x - 2) \]