Question

factorise x2 - 2root3x - 45

Answer 1

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• Factorise the polynomial.

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${x}^{2} - 2 \sqrt{3} x - 45$

$= {x}^{2} - 5 \sqrt{3}x + 3 \sqrt{3} x - 45$

$= x(x - 5 \sqrt{3} ) - 3 \sqrt{3} (x - 5 \sqrt{3} )$

$= (x - 3 \sqrt{3} )(x - 5 \sqrt{3} )$

$\star\:\:\:\bf\large\underline\blue{Answer:-}$

• $(x - 3 \sqrt{3} )(x - 5 \sqrt{3} )$