Question

Write the sum and product of zeroes of a quadratic polynomial are given

Answer 1

Sol : α, β are zeros of the quadratic polynomial then sum and product of whose zeroes are 0 and √5 respectively.  ∴   α + β = 0   αβ = √5. α, β are zeros of the quadratic polynomial then the equation is x2 -(α + β)x + αβ = 0 x2 -0x + √5 = 0 ⇒ x2 + √5 = 0