Factor the polynomial.

24w^8+30w^6

To factor the polynomial 24w^8 + 30w^6, we can first notice that there is a common factor of 6w^6 among the two terms. We can factor this out to get:

6w^6(4w^2 + 5)

Therefore, the factored form of the polynomial 24w^8 + 30w^6 is 6w^6(4w^2 + 5).