Final answer:
To factor out the GCF of 12a³-18a²-24a, we can start by factoring out 'a' and then find the GCF within the parentheses.
Step-by-step explanation:
To factor out the GCF (Greatest Common Factor) of 12a³-18a²-24a, we need to find the highest power of 'a' that each term has in common. In this case, the highest power of 'a' that all three terms have in common is 'a'. We can factor out 'a' from each term to get:
12a³-18a²-24a = a(12a²-18a-24)
Next, we can look for the GCF within the parentheses. The GCF of 12a², -18a, and -24 is 6a. We can factor out 6a to get the final factored form:
12a³-18a²-24a = a(6a-4)(2a+6)