Mathematics

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
4, 1

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(vi) For given roots,

Quadratic equation : x² - (Sum of roots)x + (Product of roots) = 0

Substituting values we get :

⇒ x² - 4x + 1 = 0

Hence, required quadratic equation is x² - 4x + 1 = 0.

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