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Factorisation of Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
$2\sqrt{3}\text{x}^2+\text{x}-5\sqrt{3}$
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Answer

$2\sqrt{3}\text{x}^2+\text{x}-5\sqrt{3}$
$=2\sqrt{3}\text{x}^2+6\text{x}-5\text{x}-5\sqrt{3}$
$=2\sqrt{3}\text{x}\big(\text{x}+\sqrt{3}\big)-5\big(\text{x}+\sqrt{3}\Big)$
$=\big(\text{x}+\sqrt{3}\big)\big(2\sqrt{3}\text{x}-5\big)$

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