Question

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

Answer 1

sum of roots = -3 
product of roots =2 
         we know,
quadratic equation : x² -(sum of roots )x + product of roots 
so, quadratic equation,
            x² - (-3)x + 2 
       ⇒x² + 3x + 2 

Answer 2

given alpha+beta =-3
and alpha ×beta=2
now for making a quadratic eqn. the formula is
= p(x)=k{xsquare -(alpha+beta)x +(alpha×beta)}
= p (x)=k{xsquare- (-3)x + 2}
=p(x)=k{xsquare + 3x + 2}

thnq hope it will help you