So basically, to factor equations in the shape of
For inspection to work, we need to find two integers which have a product (multiplication) equal to c and a sum (addition) equal to b. If no two such integers exist, then the polynomial cannot be factored.
So let’s factor
We need two integers which gives us a product equal to 6 and a sum equal to -5.
-2 and -3 are two integers, proof:
Knowing these numbers, we can find the factored form, which is