Question

$\sqrt{2} {x}^{2} + 7x + 5 \sqrt{2}$

Answer 1

$\sqrt{2} {x}^{2} + 7x + 5 \sqrt{2} \\ = \sqrt{2} {x}^{2} + 2x + 5x + 5 \sqrt{2} \\ = \sqrt{2} x(x + \sqrt{2} ) + 5(x + \sqrt{2} ) \\ = (x + \sqrt{2} )( \sqrt{2} x + 5)$