Final answer:
To factor out the greatest polynomial, divide each term by the greatest common factor (GCF), which is 6h^2.
Step-by-step explanation:
To factor out the greatest polynomial, you need to find the greatest common factor (GCF) of the two terms. In this case, the GCF is 6h^2. To factor out the GCF, divide each term by it:
- 18h^3 ÷ 6h^2 = 3h
- -48h^2 ÷ 6h^2 = -8
So, the factored form is 6h^2(3h - 8).