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in Polynomials by (58.8k points)

Find the quadratic polynomial, sum of whose roots is √2 and their product is 1/3.

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Best answer

Given : Sum of zeroes = (∝ + β) = √2

Product of the zeroes = = 1/3

Required quadratic polynomial is

x2 – (∝+β)x + ∝β 

= x2 – (√2)x + 1/3

= x2 – √2x + 1/3

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