Question

Find a quadratic polynomial, such that sum and product of where zeros are 0 and √5respectively?​

Answer 1

Step-by-step explanation:

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

Answer 2

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

Answer 3

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

Answer 4

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