Answer:
(3x - 5)(x + 1)
Step-by-step explanation:
We need to factor 3x² - 2x - 5.
In order to do this, we must look at the factors of 3 and -5:
3 = 1 * 3
-5 = 1 * -5
Somehow, we need to pair up these so that they add to -2. We realize we can do this by multiplying 1 by -5 and adding that to 1 * 3:
1 * -5 + 1 * 3 = -5 + 3 = -2
So, we have (3x - 5)(x + 1).
