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  • Let f(x) be a quadratic polynomial such that f(-1)+f(2)=0 . if one of the root of f(x) =0 is 3, then other roots lies in :

Let f(x) be a quadratic polynomial such that f(-1)+f(2)=0 . if one of the root of f(x) =0 is 3, then other roots lies in :

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Solution:

\ f(x)=a(x-3)(x-alpha )\ \Rightarrow f(-1)+f(2)=0\ \Rightarrow a[(-1-3)(-1-alpha )+(2-3)(2-alpha )]=0\ \Rightarrow 5alpha +2=0\ \Rightarrow alpha =-2/5

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Deependra Verma

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