Question

factorise this x2 + √2x + (-3/2)​

Answer 1

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

THUS FACTORIZED