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Find a cubic polynomial whose zeroes are 2,-3 and 4

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An important and conceptual question from polynomials in which we have given zeroes 2,-3,4 and we have to find a cubic polynomial.

Kindly give me a detailed solution of this question

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

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  1. General Form of cubic polynomial whose zeroes are a. b and c is :
    x³−(a+b+c)x²+(ab+bc+ca)x−abc..........(1)
    To find : cubic polynomial whose zeroes are 2,−3 and 4

    Let us say , a=2,b=−3 and c=4
    Putting the values of a, b and c in equation (1) we get :

    =x³−(2−3+4)x²+(−6−12+8)x−(−24)
    =x³−3x²−10x+24
    which is required polynomial.

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