Although we’ve discussed multiple methods of factoring, there are still just a few that we haven’t covered. One of those is going to be addressed in this post.
It works by associating, something you probably guessed. But the way that it works exactly is best shown by an example:
15x2 – 6ax – 20cx + 8ac.
We can clearly see that the first two terms have a factor of 3 and x, while the last two terms have a factor of 4 and c. We can factor both by doing this:
3x (5x – 2a) + 4c ( -5x + 2a). From here, it’s obvious that we have two identical binomials. The next step is probably the simplest one of all. We combine the 3x and the 4c to form a separate binomial, and the end result is:
(3x + 4c)( -5x + 2a)
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