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To factor the expression \( x^2 + 6x \), we need to find the greatest common factor (GCF) of the terms. 

Both terms \( x^2 \) and \( 6x \) share a common factor of \( x \).

1. Factor out the \( x \) from both terms:
\[
x(x + 6)
\]

Thus, the factored form of \( x^2 + 6x \) is:
\[
x(x + 6)
\]

Would you like any further clarification or details on this? Here are five questions related to factoring:

1. How would you factor \( x^2 + 8x \)?
2. Can you explain why factoring out the greatest common factor works?
3. How would you factor an expression like \( 2x^2 + 10x \)?
4. What is the next step after factoring if you need to solve \( x^2 + 6x = 0 \)?
5. Can you factor a trinomial like \( x^2 + 6x + 9 \)?

**Tip:** Always look for the greatest common factor (GCF) when factoring polynomials before trying other methods.

Learn how to factor the polynomial expression x^2 + 6x by identifying the greatest common factor. This detailed step-by-step solution breaks down the process for students in Grades 7-9.

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