Question

factorise
$4 {x}^{2} + 5 \sqrt{2} x - 3$
​

Answer 1

Step-by-step explanation:

$4x {}^{2} + \frac{5}{ \sqrt{2} } x - 3 \\ \frac{1}{ \sqrt{2} } (4 \sqrt{2} x {}^{2} + 5x - 3 \sqrt{2} ) \\ \frac{1}{ \sqrt{2} } (4 \sqrt{2} x {}^{2} + 8x - 3x - 3 \sqrt{2} ) \\ \frac{1}{2} (4 \sqrt{2} x (x + \sqrt{2} ) - 3(x + \sqrt{2} )) \\ \frac{1}{ \sqrt{2} } (x + \sqrt{2} )(4 \sqrt{2} x - 3) \\ or \: \: \: ( \frac{x}{ \sqrt{2} } + 1)(4 \sqrt{2} x - 3)$