Splitting the Middle Term (VIDEO!)

Algebra students are taught to factor quadratics using a technique called “splitting the middle term.” It is a wonderful technique designed to work for all those problems that it is designed to work for !!! [You can tell what I really think of it.] But there is a very deep mathematical question hidden behind the technique that most folk seem not to realise. Can you deal with the question I pose?

Splitting the Middle Term

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