Factor out the greatest common factor. If the greatest common factor is 1 , just retype the polynomial. \( 24 p^{5}-36 p^{4} \)

The greatest common factor (GCF) of \( 24 p^{5} \) and \( 36 p^{4} \) is \( 12 p^{4} \). When we factor this out of the polynomial, we get: \[ 24 p^{5} - 36 p^{4} = 12 p^{4} (2p - 3) \] So, the factored form is \( 12 p^{4} (2p - 3) \). Factoring polynomials is like solving a puzzle! It helps simplify expressions and makes it easier to analyze their behavior, especially when you’re trying to find roots or zeros of the polynomial. The more you practice, the more intuitive it becomes! In real life, factoring polynomials can help with everything from optimizing areas (like landscaping) to solving physics problems. By simplifying calculations, you can make decisions more efficiently, whether you’re managing materials for a project or assessing costs in a business. So, stay sharp with those factoring skills!