Question

find quadratic polynomial whose sum of zeroes and product of zeroes is √2 and -3/2 respectively​

Answer 1

We know that any quadratic polynomial can expressed as

$x^{2}$-(sum of roots)$x$+(product of zeroes)

Therefore, in this question

$x^{2}-\sqrt{2} x-\frac{3}{2}=0\\\2x^{2} -2\sqrt{2} x-3=0$

There's your answer.