Question

Find the quadratic polynomial whose sum and product of zeros are 1/4 and -1 respectively.

Answer 1

Here
X2 - (sum of zeroes) x + product of zeroes =0
=x2 - x/4-1=0

=4x2 - x-4=0

Answer 2

let zeros be x and y.
a+b=1/4
ab= -1
f(x)= x^2-(a+b)x +(ab)
= x^2-1/4x -1
multiplying by 4
f(x) =4x^2-x-4