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  • Find a cubic polynomial with the sum , sum of product of its zeros taken two at a time and product of its as 2, -7 , -14 respectively

Find a cubic polynomial with the sum , sum of product of its zeros taken two at a time and product of its as 2, -7 , -14 respectively

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Solution: If alpha ,eta ;and ; gamma are the zeros of cubic polynomial f(x) ,then

\ f(x)=k[ x^3-(alpha +eta +gamma )x+(alpha eta +eta gamma +gamma alpha )-alpha eta gamma ]

Here , \ herefore f(x)=k[ x^3-2x^2-7x+14]

Posted by

Deependra Verma

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