Let's learn how to factor the expression \(x^2 + 5x + 6\) step by step! 🌟 1. We want to find two numbers that multiply to 6 (the constant term) and add up to 5 (the coefficient of \(x\)). 2. The pairs of numbers that multiply to 6 are: - 1 and 6 (1 × 6 = 6) - 2 and 3 (2 × 3 = 6) 3. Now check which pair adds up to 5: - 1 + 6 = 7 (not 5) - 2 + 3 = 5 (this is what we want!) 4. So, we can write the expression as: \[(x + 2)(x + 3)\] **Final answer:** \((x + 2)(x + 3)\) Great job! You just factored a quadratic expression! 🎉