Question

factorise:-
$2 \sqrt{2} x ^{2} + 11x + 6 \sqrt{2}$
​

Answer 1

Step-by-step explanation:

$2 \sqrt{2} {x}^{2} + 11x + 6 \sqrt{2} \\ \\ 2 \sqrt{2} {x}^{2} + 8x + 3x + 6 \sqrt{2} \\ \\ (2 \sqrt{2} {x}^{2} + 8x) + (3x + 6 \sqrt{2} ) \\ \\ 2 \sqrt{2} x( x + 2 \sqrt{2} ) + 3(x + 2 \sqrt{2} ) \\ \\ (2 \sqrt{2}x + 3)(x + 2 \sqrt{2} ) = 0\\ \\ 2 \sqrt{2} x + 3 = 0 \: or \: x + 2 \sqrt{2} = 0 \\ \\ 2 \sqrt{2} x = - 3 \: or \: x = - 2 \sqrt{2} \\ \\ x = \frac{ - 3}{2 \sqrt{2} } \: or \: x = - 2 \sqrt{2}$