**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 x^{2} -(α + β)x + αβ = 0

x^{2} -(-1/4)x + 1/4 = 0

**⇒ 4x**^{2} + x + 1 = 0