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**"Factor the polynomial: \(7x^2 + 14x\)"**

To factor the polynomial \(7x^2 + 14x\):

1. Identify the greatest common factor (GCF) of the terms.
   - The GCF of \(7x^2\) and \(14x\) is \(7x\).

2. Factor out the GCF:
   \[
   7x^2 + 14x = 7x(x + 2)
   \]

So, the factored form of the polynomial \(7x^2 + 14x\) is \(7x(x + 2)\).

Would you like further details or have any questions? Here are some related questions:

1. How do you find the greatest common factor (GCF) of a polynomial?
2. What is the process for factoring a trinomial?
3. How do you factor polynomials with more than two terms?
4. What are some methods to check if a polynomial has been factored correctly?
5. Can you factor a polynomial completely if the terms do not have a common factor?

**Tip:** When factoring polynomials, always start by identifying and factoring out the greatest common factor (GCF) before using other methods.

Learn how to factor the polynomial 7x^2 + 14x using the greatest common factor (GCF) method. This problem involves identifying the GCF of terms, factoring out the GCF, and verifying the correctness of the factorization. Suitable for students in Grades 9-12.

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