Question

if alpha and beta are zeros of the polynomial f(x)=xx+px+q then polynomial having 1/alpha and 1/beta as its zeros is:

Answer 1

suppose it 'a' as alpha and 'b' as beta
a+b=-(-p/1)=p
and
ab=q/1=q
1/a+1/b=a+b/ab=p/q
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