Let's learn how to factor $x^2 + x$ step by step! 🎉
1️⃣ Imagine you have these toys:
Group 1:
🟦 🟦
(2 squares for $x^2$)
➕
🟦 🟦
(2 squares for $x^2$)
Group 2:
🟩
(1 square for $x$)
2️⃣ Now, find what is common in both groups. Both have $x$, right? So, take $x$ out like this:
$$x^2 + x = x(x + 1)$$
3️⃣ This means:
🟩
(1 square for $x$)
Factored form:
x (🟦 + 🟩)
(One $x$ times the group $x + 1$)
Great job! 🎯 You factored $x^2 + x$ as $x(x + 1)$! 🌟x (🟦 + 🟩)
(One $x$ times the group $x + 1$)