Question

find a quadratic polynomial the sum and product of zeros are - 3 and 2 respectively

Answer 1

Given 
 The sum of the zeroes of the quadratic polynomial is -3 and the product of the zeroes is 2.

To find  a quadratic polynomial with the specified conditions.

 A quadratic polynomial in terms of its zeroes is:-
          $x^{2}$ - $(\alpha + \beta)x$ + $\alpha \beta [tex] [ where [tex] \alpha and \beta$ are the roots of the equation. 
        => $x^{2} - (-3)x + (2) = 0$
      Therefore, the quadratic polynomial with the above conditions is $x^{2} +3x + 2 =0$.