To factor the expression \( x^3 + 2x^2 \), follow these steps:

1. **Identify the common factor:** 
   Both terms \( x^3 \) and \( 2x^2 \) have a common factor of \( x^2 \).

2. **Factor out the common factor:**
   Factor \( x^2 \) out of the expression:
   \[
   x^3 + 2x^2 = x^2(x + 2)
   \]

So, the factored form of \( x^3 + 2x^2 \) is:
\[
x^2(x + 2)
\]

Would you like more details on this, or do you have any other questions?

Here are some related questions to explore:
1. How do you factor expressions with higher powers of \( x \), such as \( x^4 \) or \( x^5 \)?
2. What is the process for factoring a cubic polynomial completely?
3. Can you explain how to factor a polynomial with no common factor?
4. How do you check if your factorization is correct?
5. How do you factor a polynomial with multiple variables?

**Tip:** Always start by factoring out the greatest common factor (GCF) in polynomial expressions before attempting other factoring methods.

Learn how to factor the polynomial x^3 + 2x^2 step-by-step with a detailed explanation. This problem involves polynomial factorization techniques and is suitable for high school students studying algebra.

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