Find the GCF of each product.
(6y^2-3y)(y+7)
I think it is 3y. I'm not sure maybe there is no GCF in this problem. Any help would be appreciated.
To find the Greatest Common Factor (GCF) of the product (6y^2-3y)(y+7), we first need to factor each term completely.
For the first term, 6y^2-3y, we can factor out the GCF of the coefficients, which is 3, and the GCF of the variables, which is y. This gives us:
3y(2y-1)
For the second term, y+7, it is already in its simplest form, so no further factoring is needed.
Now, we have the factored form of the original product, which is 3y(2y-1)(y+7).
To find the GCF of the entire product, we look for common factors that occur in every term. In this case, the GCF is simply 3y, since it divides evenly into each term.
Therefore, the GCF of (6y^2-3y)(y+7) is 3y. You were correct in your initial guess!