(Q22) Find the quadratic polynomial in each case,with the given numbers as the sum and product of its zeros respectively. -
1
4
 ,
1
4

Answer

let the polynomial be ax2+bx+c and its zeros α and β

Then α+β=
-
 =
-b
a
 and
αβ=
=
c
a

If a=4,then b=1 and c=1

One quadratic polynomial which satisfies the given conditions x2+x+