Let's factor the expression $x^2 + 5x + 9$ step by step! 1️⃣ Imagine you have this expression: $x^2 + 5x + 9$ 2️⃣ We want to find two numbers that multiply to 9 and add to 5. 3️⃣ Let's look at the pairs of numbers that multiply to 9:

Pairs:
3️⃣ 3️⃣
(3 and 3)

1️⃣ 9️⃣
(1 and 9)

4️⃣ Now, check which pairs add up to 5: - $3 + 3 = 6$ - $1 + 9 = 10$ 5️⃣ None of these add to 5, so this expression can't be factored nicely with whole numbers. 6️⃣ That means $x^2 + 5x + 9$ is a prime quadratic and does not factor into simple integers. Great job trying! Sometimes, expressions don't factor easily, and that's okay! 🎉