α, β are zeros of the quadratic polynomial then sum and product of whose zeroes are -1/4 and 1/4 respectively.
∴ α + β = -1/4 αβ = 1/4
α, β are zeros of the quadratic polynomial then the equation is x2 -(α + β)x + αβ = 0
x2 -(-1/4)x + 1/4 = 0
⇒ 4x2 + x + 1 = 0
