Answer:
the GCF is 5y and the factored form is 5y(2y^4 + 6y^2 - 3).
Explanation:
The greatest common factor (GCF) of the terms 10y^5, 30y^3, and -15y is 5y.
To factor out the GCF, we can divide each term by 5y:
10y^5 / (5y) = 2y^4
30y^3 / (5y) = 6y^2
-15y / (5y) = -3
So we have:
10y^5 + 30y^3 - 15y = 5y(2y^4 + 6y^2 - 3)
Therefore, the GCF is 5y and the factored form is 5y(2y^4 + 6y^2 - 3).