Question

Find a quadratic polynomial each with the give numbers as the sum and product of its zeros respectively.
$\sqrt{2},\frac{1}{3}$

Answer 1

Since,

${ax}^2+bx+c=0$ be a polynomial.

Required polynomial

$\Rightarrow x^2-\sqrt{2}x+\frac{1}{3}=0$

$\Rightarrow {3x}^2-3\sqrt{2}x+1=0$

Hence, this is the answer.