4) Listen Factor the expression using the GCF. \( 24+64 x=\square \)

To factor the expression \( 24 + 64x \), we first identify the greatest common factor (GCF) of the two terms. Here, the GCF is 8. So, we can factor out 8 from each term, giving us: \( 8(3 + 8x) \) Now our expression becomes \( 8(3 + 8x) \), which clearly shows the factorization. Factoring not only makes expressions more manageable but also helps in simplifying problems in algebra. When you factor out the GCF, you're focusing on what the two terms have in common! This approach makes solving equations or working through polynomial expressions much easier. In any math problem involving variables and constants, always keep an eye out for the GCF. It's like a hidden treasure waiting to be discovered! Not only will you simplify your life in algebra, but it's also the first step in solving higher-degree polynomials or even in calculus when you try to break down complex functions. Keep practicing, and soon you’ll be a factoring pro!