# How do you factor #y=2x^2 - 5x – 3 #?

##### 1 Answer

#### Explanation:

To find the factors, put

This is a quadratic equation and will have 2 factors or 2 roots.

We first find two numbers that:

- multiply to
#color(red)(-6)# (because#2xx-3=-6# ) and - add up to
#color(red)(-5)# .

Let's list the factors of -6:

From the above combinations,

Now back to the quadratic equation:

Here, we write

Then

Make 2 pairs:

Take out the common terms from each pair:

We can **check** our answer by working backwards:

i.e. solve: