3y^2-15y+12
Look for a GCF first, then factor the remaining trinomial
First, let's find the greatest common factor of the terms in the trinomial.
The terms in the trinomial are 3y^2, -15y, and 12.
The common factors of 3, 15, and 12 are 3 and 1.
The common factors of y^2 and y are y.
So, the greatest common factor is 3y.
Now, let's factor out the GCF from the trinomial:
3y(3y - 5) + 4(3y - 5)
Now, we can see that the trinomial can be factored as (3y - 4)(y - 3).
Therefore, the factored form of 3y^2 - 15y + 12 is 3y(3y - 4)(y - 3).