Factor the polynomial using the greatest common factor. If there is no common factor other than 1 and the polynomial cannot be​ factored, so state.
x squared plus 6 xx2+6x

To factor the polynomial \( x^2 + 6x \) using the greatest common factor (GCF), follow these steps:

1. **Identify the GCF of the terms**: The two terms in the polynomial are \( x^2 \) and \( 6x \).
   - The GCF of \( x^2 \) and \( 6x \) is \( x \), because both terms contain \( x \) as a factor.

2. **Factor out the GCF**: 
   - When you factor out \( x \) from each term, you get:
     \[
     x^2 + 6x = x(x + 6)
     \]

So, the factored form of the polynomial is \( x(x + 6) \).

Would you like more details on this process or have any questions?

Here are some related questions you might find interesting:
1. How do you find the greatest common factor of a polynomial with more than two terms?
2. Can you factor a polynomial if it has no common factors besides 1?
3. What happens if one term in the polynomial is a constant?
4. How do you factor a quadratic polynomial that doesn't have a GCF?
5. What is the difference between factoring by GCF and factoring by grouping?

**Tip**: Always start by looking for the greatest common factor before attempting other factoring methods, as it simplifies the process.

Learn how to factor the polynomial x^2 + 6x using the greatest common factor (GCF). Follow a step-by-step explanation to simplify the polynomial by identifying and factoring out the GCF. Suitable for students in Grades 7-9 studying polynomials and factoring techniques.

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