X^2 √(3)x 6 =x^2 2√(3)x √(3)x 6 =x(x 2√(3))+ √(3)(x 2√(3)) =(x+√(3))(x 2√(3)) ...

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Factorisation of Quadratic Polynomials- Middle Term Splitting

Factorise: x2...

Question

Factorise:
$x^{2} - \sqrt{3} x - 6$

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Solution

$x^{2} - \sqrt{3} x - 6 = x^{2} - 2 \sqrt{3} x - \sqrt{3} x - 6 = x (x - 2 \sqrt{3}) + \sqrt{3} (x - 2 \sqrt{3}) = (x + \sqrt{3}) (x - 2 \sqrt{3})$

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