Question

Find a quadratic polynomial each with the given zeros as sum and the product of its zeros
respectively
(a) (1 / 4)-1 (b) root 2, 1/3

Answer 1

hey there
sum of zero=1/4
product of zero=-1
Quadratic poly:-
X2 - (sum of zero)x. +product of zero=0
x2-1/4x + (-1)=0
X2 -1/4x-1=0(we take L.C.M)
4x2-1x-4=0
that is the answer
(B) sum of zero=2
product of zero=1/3
Quadratic poly:-
x2-(sum of zero)x +product of zero=0

X2 -2x +1/3 =0(we take L.C.M)
3x2-6x+1
that is answer I hope this Amisha helpful for you