Factor out the GCF in the polynomial. \( 16 x-24 \)

To factor out the greatest common factor (GCF) in the polynomial \( 16x - 24 \), we first identify the GCF of the coefficients 16 and 24, which is 8. So, we can rewrite the expression by factoring 8 out: \[ 16x - 24 = 8(2x - 3) \] Now the polynomial is factored into a product of 8 and the simplified expression \( (2x - 3) \). In fact, once you find the GCF and factor it out, you can always check your result by distributing back to ensure you return to the original polynomial. It's like reverse engineering! For example, when you expand \( 8(2x - 3) \), you'll get back \( 16x - 24 \). This step is a great way to ensure you've done it correctly and mastered the art of factoring. Plus, it reinforces your understanding of polynomials and their behaviors!