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Rajan@2021
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Find the zeroes of the polynomial x²-3x-m(m+3).

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One of the most important and conceptual question from polynomials in which we have given a polynomial x²-3x-m(m+3) and we have been asked to find the zeroes of the given polynomial.

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 2C, question no 3

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  1. This answer was edited.

    Let f(x)=x²−3x−m(m+3)

    Above polynomial can be written as,
    f(x)=x²−(m+3)x+mx−m(m+3)
    =x(x−m−3)+3(x−m−3)
    =(x−m−3)(x+m)

    To find the zeroes of f(x), put f(x)=0
    (x−m−3)(x+m)=0
    x−m−3=0 or x=−m

    Required zeros are (m+3),−m

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