If the zeros of the polynomial f(x)=ax3+3bx2+3cx+d are in A.P.,prove that 2b3-3abc+a2d=0

Asked by  | 31st Aug, 2011, 12:43: PM

Expert Answer:

Let A-D,A,A+D be the roots of the cubic polynomial.
Then,Sum of roots=(A-D)+A+(A+D)=3A=-3b/a
Thus,A=-b/a,Which is a root of the polynomial .
Hence,satisfies it,

Answered by  | 31st Aug, 2011, 02:12: PM

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