\( \begin{array}{l}\text { 1) Listen } \\ \text { Factor the expression using the GCF. } \\ 36 x-28= \\ \end{array} \)

To factor the expression \(36x - 28\), we first need to find the greatest common factor (GCF) of the coefficients 36 and 28. The GCF of these two numbers is 4. So, we can factor out 4 from the expression: \[ 36x - 28 = 4(9x - 7) \] And there you have it! The expression is factored as \(4(9x - 7)\). Now, if we want to take this knowledge to the next level, it's interesting to note that both 36 and 28 can be expressed in terms of their prime factorization: \(36 = 2^2 \times 3^2\) and \(28 = 2^2 \times 7\). This reveals how the GCF helps in simplifying expressions, allowing us to see the underlying structure! On a practical note, understanding how to factor using the GCF can make solving equations much easier in fields like physics or engineering, where you might need to simplify expressions to determine forces, flows, or other rates in real-world scenarios. Being adept at factoring ensures you're better equipped to tackle problems involving quadratic equations or polynomial expressions in any scientific discipline!