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Factorisation of Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
$\text{x}^2+3\sqrt{3}\text{x}+6$
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Answer

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

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