The expression \( x^4 + x^2 \) can be factored by recognizing a common factor:

\[
x^4 + x^2 = x^2(x^2 + 1)
\]

This is the factored form of the expression. 

Would you like a more detailed explanation, or do you have any further questions?

Here are 5 related questions to explore:
1. How do you factor quadratic expressions?
2. What happens if we expand \(x^2(x^2 + 1)\) back?
3. Can we factor more complex expressions with higher powers of \(x\)?
4. What are the properties of polynomials like \(x^4 + x^2\)?
5. How does factoring simplify solving equations?

**Tip**: Always check for common factors before applying more advanced factoring techniques.

Learn how to factor the polynomial expression x^4 + x^2 by identifying the common factor. This step-by-step solution demonstrates how to simplify expressions through basic factoring techniques, using algebraic concepts suitable for students in Grades 9-12.

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