3y^2-1/5y+12

Look for a GCF first, then factor the remaining trinomial

To factor the given trinomial, we first need to check if there is a greatest common factor (GCF) for the terms 3y^2, -1/5y, and 12.

The GCF for the terms 3y^2, -1/5y, and 12 is 1.

Next, we will factor the remaining trinomial: 3y^2 - 1/5y + 12

This trinomial cannot be factored any further as it does not have any common factors.

Therefore, the factored form of 3y^2 - 1/5y + 12 is just 3y^2 - 1/5y + 12.