Let's factor this guy:

4x^2 + 11x + 6

Possible first guys: 1 * 4 and 2 * 2 , Possible last guys: 1 * 6 and 2 * 3

Since we'll need to check ALL possible combos, we need to flip one set of these. For this one, the first guys are easier:

First: 1 * 4 and 4 * 1 and 2 * 2 , Last: 1 * 6 and 2 * 3

Now, we just need to start running through the list until something hits.

Our middle guy is 11x.

Here's how I run through them:

First: 1 * 4 and 4 * 1 and 2 * 2 , Last: 1 * 6 and 2 * 3 ... first, pair the 1 * 4 with the 1 * 6 and the 2 * 3 , then pair the 4 * 1 with the 1 * 6 and the 2 *3 , finally, pair the 2 * 2 with the 1 * 6 and the 2 * 3

Let's go!

1) 1 * 4 and 1 * 6 ... the inner terms give 4 and the outer terms give 6 ... 4 and 6 ... no

2) 1 * 4 and 2 * 3 ... the inner terms give 8 and the outer terms give 3 ... 8 + 3 = 11 ... that popped fast!