Question

factorization of 2√3x^2-5x+√3

Answer 1

$Given \: Quadratic \: polynomial :\\2\sqrt{3}x^{2} - 5x + \sqrt{3}$

/* Splitting the middle term,we get */

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

$= 2\sqrt{3}x^{2} - \sqrt{3} \times \sqrt{3}x - 2x + \sqrt{3} \\= \sqrt{3}x( 2x - \sqrt{3}) - 1(2x-\sqrt{3})\\= (2x-\sqrt{3})(\sqrt{3}x-1)$

Therefore.,

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

$\green { = (2x-\sqrt{3})(\sqrt{3}x-1)}$

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