Question

find a quadratic polynomial whose sum zeroes and product of zeroes are respectively underoot 2 , 1/underoot 2

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Answer 1

Answer:

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Answer 2

sum of zeroes= -coefficient of x/coefficient of x square

product of zeroes=constant /coefficient of x square

sum= √2

product=1/√2

i.e.Coefficient of x=-2

coefficient of x square =√2

constant=1

so polynomial is

√2x square - 2x + 1= 0