**Problem:** Factor $x^2 + 5x + 6$ **Step 1: Look for two numbers that multiply to 6 and add to 5.** Let's think of pairs of numbers that multiply to 6: 1️⃣ 1 and 6 (1 × 6 = 6) 2️⃣ 2 and 3 (2 × 3 = 6) **Step 2: Check which pair adds to 5:** 1 + 6 = 7 (not 5) 2 + 3 = 5 (yes! 🎉) **Step 3: Write the factors using these numbers:** $$(x + 2)(x + 3)$$ ✨ **So, the factorization of $x^2 + 5x + 6$ is:** $$(x + 2)(x + 3)$$