Great job! 🌟 Let's check your idea step by step.
**Step 1:** We want two numbers that add to 5.
**Step 2:** Also, these two numbers multiply to 6.
Imagine you have groups of apples:
Group 1:
🍎 🍎
(2 apples)
Add ➕
🍎 🍎
(2 apples)
Group 2:
🍎 🍎 🍎
(3 apples)
=
🍎 🍎 🍎
(3 apples)
Total apples:
🍎 🍎 🍎 🍎 🍎
(5 apples)
So, 2 + 3 = 5. Great!
Now check the product: 2 × 3 = 6. Perfect! 🎯
**Final step:** Factor the expression as
$$x^2 + 5x + 6 = (x + 2)(x + 3)$$
Awesome work! Keep it up! 😊🍎 🍎 🍎 🍎 🍎
(5 apples)