Let's try another one:

Factor

I'll give you a big start:

What do you think?

The 12 is positive...

and we need a +7...

Will this work?

No! It gives a last term of -12.

Will this work?

No! Same reason.

What about this?

The last term IS a positive 12...

But, the outer and inner terms give -7... So, no!

How about this? (It's our last chance!)

Check it with FOIL... It works!