Find the quadratic polynomial, sum of whose zeroes is √2 and their p – InterviewSolution

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1.

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

Answer»

We can find the quadratic equation if we know the sum of the roots and product of the roots by using the formula

x² – (Sum of the roots)x + Product of roots = 0

⇒ x² – √2x + 1/3 = 0

⇒ 3x² –3√2x + 1 = 0

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