Question

Form a quadratic equation whose sum of roots is -√2 and product of roots is (-4)

Answer 1

Since, Sum of zeroes = -√2

Product of zeroes =-4

Therefore,

$required \: polynomial = {x}^{2} - ( - \sqrt{2} )x + ( - 4) \\ = {x}^{2} + \sqrt{2} x - 4$

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