Question

√3x² +4x+√3, Find the factors of the given polynomial

Answer 1

$\sqrt{3} {x}^{2} + 4x + \sqrt{3} \\ \\ = \sqrt{3} {x}^{2} + 3x + x + \sqrt{3} \\ \\ = \sqrt{3} x(x + \sqrt{3} ) + 1(x + \sqrt{3} ) \\ \\ = ( x + \sqrt{3} )( \sqrt{3} x + 1)$

Answer 2

$\sqrt{3} x ^{2} + 4x + \sqrt{3} \\ \sqrt{3} {x}^{2} + 3x + 1x + \sqrt{3} \\ \sqrt{3}x (x + \sqrt{3} ) + 1(x + \sqrt{3} ) \\ (\sqrt{3}x + 1)(x + \sqrt{3} )$