# How do you factor #5y^2-7y-6#?

##### 1 Answer

#### Answer:

#### Explanation:

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:

If

Now we know all of our variables, and can write out the final factored equation: