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Rajan@2021
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Find the quadratic polynomial, sum of whose zeroes is 0 and their product is -1. Hence, find the zeroes of the polynomial.

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This is the basic and conceptual question from polynomials in which we have to find the quadratic polynomial and also the zeroes of the polynomial if their sum is 0 and their product is -1.

Kindly solve the above problem

RS Aggarwal, Class 10, chapter 2A, question no 15

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1 Answer

  1. Given : Sum fo zeroes =  (α+β)=0
    Product of the zeroes = αβ=1

    Required quadratic polynomial is
    (α+β)x+αβ=(0)x1
    =1
    Now, find the zeroes of the above polynomial.
    Let f(x)=1

    =(x1)(x+1)

    Substitute f(x)=0
    (x1)=0 or (x+1)=0
    x=1 or x=1

    1 and 1 are the zeroes of the polynomial.

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