Question

Find a quadratic polynomial the sum and product of whose zero are root2 and -3/2 respectively also find its zero

Answer 1

a+b=root2
ab=-3by 2
f (x)=x square -(a+b)x + ab
x square - root 2 - 3 by 2


then by taking LCM method,middle term factorisation method spilt it.
we get,
x=3 by root 2 and x= -1 by root 2


please like it..