(Q23)Find the quadratic polynomial in each case,with the given numbers as the sum and product of its zeros respectively.4,1

Answer:

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

Then α+β=4
-(-4)
1
 =
-b
a
 and
αβ=1=
1
1
 =
c
a

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

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