1. The problem is to understand how to factorize algebraic expressions. 2. Factorization means writing an expression as a product of simpler expressions called factors. 3. The most common method is to find the greatest common factor (GCF) of all terms and factor it out. 4. For example, for the expression $6x^2 + 9x$, the GCF is 3x. 5. We write: $$6x^2 + 9x = 3x(\cancel{2x} + \cancel{3})$$ showing the cancellation of the common factor. 6. Another method is factoring trinomials like $x^2 + 5x + 6$ by finding two numbers that multiply to 6 and add to 5, which are 2 and 3. 7. So, $$x^2 + 5x + 6 = (x + 2)(x + 3)$$. 8. Practice by identifying common factors and using these methods step by step. 9. Remember, factorization helps simplify expressions and solve equations more easily.