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

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This is the basic and conceptual question from polynomials in which we have given that the sum of zeroes of polynomial is √2 and their product is 1/3 and we have to find the quadratic polynomial.

Kindly solve the above problem

RS Aggarwal, Class 10, chapter 2A, question no 18


1 Answer

  1. This answer was edited.

    The General form of a quadratic polynomial whose Sum of roots and products of roots is given :

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

    In the above question,
    Sum of roots =√2​
    Product of roots =1/3.

    Now, The quadratic polynomial

    Required polynomial is 3x²−3√2​x+1

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