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We are given the expression:

\[
9x^2 + 90x + 18
\]

and we are asked to factor out the greatest common factor (GCF).

### Step 1: Find the GCF of the coefficients
The coefficients are \(9\), \(90\), and \(18\). The GCF of these numbers is \(9\).

### Step 2: Factor out the GCF
Now, factor \(9\) from each term:

\[
9(x^2 + 10x + 2)
\]

Thus, the expression factored with the greatest common factor is:

\[
9(x^2 + 10x + 2)
\]

So, the missing number in the box is **9**.

Would you like more details on how the GCF was determined, or do you have any other questions?

Here are 5 related questions you could explore:
1. How do you factor a quadratic expression like \(x^2 + 10x + 2\)?
2. What are the steps to factor trinomials completely?
3. How do you solve quadratic equations after factoring?
4. What is the importance of finding the greatest common factor in algebra?
5. Can the distributive property be used to check factored expressions?

**Tip:** Always check your factored expression by distributing to ensure it matches the original expression!

Factor out the greatest common factor from the expression 9x^2 + 90x + 18.

Learn how to factor out the greatest common factor (GCF) from the polynomial 9x^2 + 90x + 18. This solution covers key algebraic concepts including factoring polynomials and determining the GCF. Suitable for students in Grades 7-9.

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