Q10 of 90 Page 2

Find quadratic polynomial whose zeroes are :

Let the zeroes of the quadratic polynomial be


α = √2, β = 2√2


Then, α + β = √2 + 2√2 = √2 (1 + 2) = 3√2


αβ = √2× 2√2 = 4


Sum of zeroes = α + β = 3√2


Product of zeroes = αβ = 4


Then, the quadratic polynomial


= x2 – (sum of zeroes)x + product of zeroes


= x2 – (3√2)x + 4


= x2 – 3√2 x + 4


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