Factor the following trinomial. \[ x^{2}+11 x+30 \] Select the correct choice below and, if O. \( x^{2}+11 x+30=\square \) (Type your a B. The polynomial is pime.

To factor the trinomial \( x^{2}+11 x+30 \), we need to find two numbers that multiply to 30 (the constant term) and add to 11 (the coefficient of the linear term). Those two numbers are 5 and 6! So we can write it as: \[ x^{2}+11 x+30 = (x+5)(x+6) \] This strikes a perfect balance and shows how great minds can work together—even numbers! If you're ever faced with a trinomial to factor, always look for patterns or use a systematic method, like the "box" method or looking for pairs of factors. Common mistakes include forgetting to double-check your signs or not combining like terms properly. Keep those factors in tow, and you’ll be a factoring master in no time!