I don't know about you guys, but I usually have trouble with trinomials such as
Specifically because I have to use combinations of the factors of 5 and of 6, not to mention the order I use the factors in.
Now, here's my little trick. (And all I can say is that no one ever taught me this in school, I don't know about anyone else, but I come from a pretty uneducated county.)
First, take the factors of the first and last digits, that part is a given.
Next, find all the products:
Now, find the two that add to 17:
So, now we know the answer involves {1, 5} and {2, 3}:
The answer turns out to be:
So, did anyone else know this, or am I totally awesome?