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Factorisation of Quadratic Polynomials

Factorise : x...

Question

Factorise :

$x^{2} + 3 x + 2 + a x + 2 a$

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Solution

$x^{2} + 3 x + 2 + a x + 2 a = x^{2} + 2 x + x + 2 + a x + 2 a = x (x + 2) + (x + 2) + a (x + 2) = (x + 2) (x + + 1 + a)$

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