1. Let's start by understanding what factorization means. Factorization is the process of breaking down an expression into simpler expressions (factors) that when multiplied give the original expression. 2. The most common methods of factorization include: - Taking out the Greatest Common Factor (GCF) - Factoring trinomials - Difference of squares - Perfect square trinomials 3. Example: Factorize $x^2 + 5x + 6$. 4. We look for two numbers that multiply to $6$ (the constant term) and add to $5$ (the coefficient of $x$). 5. These numbers are $2$ and $3$ because $2 \times 3 = 6$ and $2 + 3 = 5$. 6. So, we can write: $$x^2 + 5x + 6 = (x + 2)(x + 3)$$ 7. This means the factors of $x^2 + 5x + 6$ are $(x + 2)$ and $(x + 3)$. 8. Always check by expanding the factors to ensure you get the original expression. 9. Practice with different types of expressions to master factorization!