1. Let's start by stating the problem: factoring an algebraic expression in Algebra 2. 2. The general approach to factoring involves finding common factors, recognizing special products (like difference of squares, perfect square trinomials), or factoring trinomials. 3. For example, if you have a quadratic expression $ax^2 + bx + c$, you look for two numbers that multiply to $ac$ and add to $b$. 4. Let's consider a specific example: factor $x^2 + 5x + 6$. 5. We look for two numbers that multiply to $6$ and add to $5$. These numbers are $2$ and $3$. 6. So, we can write: $$x^2 + 5x + 6 = x^2 + 2x + 3x + 6$$ 7. Group terms: $$= (x^2 + 2x) + (3x + 6)$$ 8. Factor each group: $$= x(x + 2) + 3(x + 2)$$ 9. Factor out the common binomial: $$= (x + 3)(x + 2)$$ 10. Therefore, the factored form of $x^2 + 5x + 6$ is $(x + 3)(x + 2)$. This method applies to many quadratic expressions. If you have a specific expression to factor, please provide it!