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Factorisation of Quadratic Polynomials- Middle Term Splitting

Factorise: x2...

Question

Factorise:
$x^{2} - 22 x + 120$

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Solution

$x^{2} - 22 x + 120 = x^{2} - 10 x - 12 x + 120 = x (x - 10) - 12 (x - 10) = (x - 10) (x - 12)$

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