The quadratic expression \( x^2 + 5x + 6 \) can be factored by finding two numbers that multiply to 6 (the constant term) and add up to 5 (the coefficient of the linear term).

The two numbers that fit this are 2 and 3, because:

- \( 2 \times 3 = 6 \)
- \( 2 + 3 = 5 \)

So, the factorization of \( x^2 + 5x + 6 \) is:

\[
(x + 2)(x + 3)
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you factor other quadratic expressions like \( x^2 + 7x + 10 \)?
2. What is the process for factoring quadratics with a leading coefficient other than 1?
3. How do you solve quadratic equations after factoring?
4. What if a quadratic expression cannot be factored easily?
5. Can completing the square be an alternative to factoring?

**Tip:** Always check if the quadratic can be factored by looking for pairs of numbers that multiply to the constant and add to the linear term's coefficient.

Learn how to factor the quadratic equation x^2 + 5x + 6 step-by-step. Understand how to find two numbers that multiply to 6 and add up to 5, with easy-to-follow explanations. This algebraic method is perfect for students in Grades 7-9.

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