Factor the polynomial by pulling out the GCF

6r^2+12r-15

3(2r^2+4r-5)

To factor the polynomial 6r^2 + 12r - 15 by pulling out the Greatest Common Factor (GCF), you need to determine the largest common factor of all the terms. In this case, the GCF is 3, as it is the largest number that divides evenly into 6, 12, and 15.

Now divide each term by the GCF of 3:
(6r^2 ÷ 3) + (12r ÷ 3) - (15 ÷ 3)

This simplifies the polynomial to:
2r^2 + 4r - 5

So the factored form of the polynomial 6r^2 + 12r - 15 by pulling out the GCF is:
3(2r^2 + 4r - 5)