SETTING THE SCENE

We saw last lesson that

\(x^2+5x+6=\left(x+2\right)\left(x+3\right)\),

showing that \(x^2+5x+6\) is a straightforward multiple of \(x=2\): it is \(x+3\) copies of \(x+2\).

This means that if we divide \(x^2+5x+6\) by \(x+2\) we should get a nice answer, namely, \(x+3\).

The goal of this essay is to play with \(\dfrac{x^2+5x+6}{x+2}\), and other algebraic expressions,   in the way of the previous essay: work to make each term in the numerator a multiple of the denominator and adjust for errors we introduce as we go along.

This algebra will lead to a deep mathematical result.

READ MORE HERE: QUADRATICS PD Essay 4.2

(See too Edfinity.com/XXX for a robust source of curriculum practice problems for you collate, organise, and use.)

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