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Find a cubic polynomial whose zeroes are 1/2,1 and -3.

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This is the basic and conceptual question from polynomials in which we have given zeroes 1/2, 1 and -3 and we have to find the cubic polynomial

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 2B, question no 4

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  1. General Form of cubic polynomial whose zeroes are a. b and c is :
    (a+b+c)+(ab+bc+ca)xabc..........(1)

    To find : cubic polynomial whose zeroes are 1/2,1 and –3

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

    =(1/2+13)+(1/23−3/2)x(−3/2)

    =(−3)/24x+3/2

    =2+38x+3
    which is required polynomial.

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