If the zeros of the polynomial `f(x)=ax^3+3bx^2+3cx+d` are in A.P. then show that `2b^3-3abc+a^2d=0`

If the zeros of the polynomial f(x)=ax^(3)+3bx^(2)+3cx+d are in A.P.then show that 2b^(3)-3abc+a^(2)d=0

If the zeros of the polynomial f(x)=ax^(3)+3bx^(2)+3cx+d are in A.P. prove that 2b^(3)-3abc+a^(2)d=0

If the zeros of the polynomial f(x)=a x^3+3b x^2+3c x+d are in A.P., prove that 2b^3-3a b c+a^2d=0 .

If zeros of a polynomial f(x) = ax^(3) + 3bx^(2) + 3cx + d are in AP prove that 2b^(3) - 3abc + a^(2) d = c .

If the zeroes of polynomial x^(3)-ax^(2)+bx-c are in AP,then show that 2a^(3)-9ab+27c=0

If the zeroes of polynomial x^(3)-ax^(2)+bx-c are in AP,then show that 2a^(3)-9ab+27c=0

If zeros of the polynomial f(x)=x^3-3p x^2+q x-r are in A.P., then (a) 2p^3=p q-r (b) 2p^3=p q+r (c) p^3=p q-r (d) None of these

If zeros of polynomial f(x0 = x^(3) - 3px^(2)+qx-r are in AP then 2p^(3) = ………..

If two of the zeros of the cubic polynomial ax^(3)+bx^(2)+cx+d are 0 then the third zero is

If alpha, beta, gamma are the zeros of the polynomial f(x) = ax^(3) + bx^(2) + cx + d then (alpha)^2 + (beta)^2 + (gamma)^2 = ………….