Question

Find a quadratic polynomial whose sum and product of zeros are root 2 and 3 respectively

Answer 1

Here given,

● sum of zeroes=

$\sqrt{2}$

●product of zeroes=3

As we know that ,

$p(x) = {x}^{2} - (sum \: of \: zeroes)x + produt \: of \: zeroes \\ = > {x}^{2} - \sqrt{2} x + 3$

hence , the quadratic polynomial is

x^2-√2x+3

Hope this helps you