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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## General Form of cubic polynomial whose zeroes are a. b and c is :

xÂ³âˆ’(a+b+c)xÂ²+(ab+bc+ca)xâˆ’abc..........(1)

To find : cubic polynomial whose zeroes areÂ 2,âˆ’3Â andÂ 4

Let us say ,Â a=2,b=âˆ’3Â andÂ c=4

Putting the values of a, b and c in equation (1) we get :

=xÂ³âˆ’(2âˆ’3+4)xÂ²+(âˆ’6âˆ’12+8)xâˆ’(âˆ’24)

=xÂ³âˆ’3xÂ²âˆ’10x+24

which is required polynomial.