How do you factor #y=2x^2 - 5x – 3 #?
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
Let's list the factors of -6:
From the above combinations,
Now back to the quadratic equation:
Here, we write
Make 2 pairs:
Take out the common terms from each pair:
We can check our answer by working backwards: