To factor the quadratic expression \( x^2 + 10x + 9 \), we look for two numbers that multiply to 9 and add up to 10. 

The expression can be factored as follows:

\[
x^2 + 10x + 9 = (x + 1)(x + 9)
\]

### Solution
1. **Identify factors of 9** that add up to 10:
   - \(1\) and \(9\) multiply to \(9\) and add up to \(10\).

2. **Rewrite the expression** as \((x + 1)(x + 9)\).

Thus, the factored form is:

\[
x^2 + 10x + 9 = (x + 1)(x + 9)
\]

Would you like additional details, or do you have questions?

### Related Questions
1. How would you factor \(x^2 + 12x + 36\)?
2. What is the solution for \(x^2 + 5x + 6 = 0\)?
3. How do you complete the square for \(x^2 + 10x + 9\)?
4. What is the quadratic formula and how does it apply to this problem?
5. How would you graph \(y = x^2 + 10x + 9\)?

### Tip
For factoring quadratics, look for pairs of factors that add up to the middle coefficient.

Learn how to factor the quadratic expression x^2 + 10x + 9 using simple algebraic techniques. This solution guides you through finding factors that add up to the middle term and multiply to the constant term, suitable for Grades 7-9.

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