How do you factor #5y^2-7y-6#?
I made the assumption that all coefficients and factors were integers. Based on this, I started building a form of the factored equation:
The expanded form allows us to make some guesses, again assuming integers.
We know that
Next, we need to figure out what d and c are. We know that
The trick here is to figure out the values of d/c using the middle term:
Now we know all of our variables, and can write out the final factored equation: