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Factorise : x2 + 5√3x + 12

(a) (x + 2√3)(x + 3√3)

(b) (x + √3)(x + 4√3)

(c) (x + 4√3)(x - √3)

(d) (x - √3)(x - 4√3)

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Best answer

(b) (x + 4√3)(x + √3)

x2 + 5√3x + 12

= x2 + 4√3x + √3(x + 4√3)

= x(x + 4√3) + √3(x + 4√3)

= (x + 4√3)(x + √3)

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