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Factorisation of Quadratic Polynomials- Middle Term Splitting

Factorize: p...

Question

Factorize:
$p^{2} - 6 p + 8$

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Solution

We need to factorise $p^{2} - 6 p + 8$
It can be written as $p^{2} - 6 p + 8 = p^{2} - 4 p - 2 p + 8$
$= p (p - 4) - 2 (p - 4)$
$= (p - 4) (p - 2)$

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