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Factorisation of Quadratic Polynomials- Middle Term Splitting

Factorise: x2...

Question

Factorise:
$x^{2} + 5 x + 6$

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Solution

$x^{2} + 5 x + 6 = x^{2} + 2 x + 3 x + 6 {\begin{matrix} ∵ 6 = 2 \times 3 5 = 2 + 3 \end{matrix}} = x (x + 2) + 3 (x + 2) = (x + 2) (x + 3) A n s .$

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