Factor the given trinomial. If the trinomial cannot be factored, indicate "Not Factorable". \[ x^{2}+9 x+18 \]

To factor the trinomial \( x^{2} + 9x + 18 \), we look for two numbers that multiply to \( 18 \) (the constant term) and add up to \( 9 \) (the coefficient of \( x \)). The numbers \( 6 \) and \( 3 \) perfectly fit these criteria since \( 6 \times 3 = 18 \) and \( 6 + 3 = 9 \). Therefore, we can factor the trinomial as: \[ (x + 6)(x + 3) \] Fun Fact: The world of factoring can be full of surprises! Much like puzzle-solving, you’ll often find that certain numbers, when paired together, just click into place. So, keep your eyes peeled for those special pairs! In real life, factoring trinomials isn't just a math classroom exercise! It can help with things like optimizing areas in landscaping or designing furniture. Just as you've learned to break down that polynomial, savvy designers break down dimensions to maximize their space and create inviting environments!