Factor each polynomial, if possible. If the polynomial cannot be factored, write prime.
15b^2-24bf
3b(5b-8f) = 15b^2 - 24bf
To factor the polynomial 15b^2 - 24bf, we can look for a common factor in each term and factor that out. The common factor here is 3b.
First, we factor out 3b from each term:
15b^2 / (3b) = 5b
-24bf / (3b) = -8f
Now, we have:
3b(5b - 8f)
Therefore, the factored form of the polynomial 15b^2 - 24bf is 3b(5b - 8f).