" If the zeros of the polynomial "f(x)=ax^(3)+3bx^(2)+3cx+d" are in A.P.,prove th "

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 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 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 zeros of the polynomial f(x)=2x^(3)-15x^(2)+37x-30 are in A.P. find them.

If the zeros of the polynomial f(x)=2x^3-15 x^2+37 x-30 are in A.P., find them.

Find the condition that the zeros of the polynomial f(x)=x^(3)+3px^(2)+3qx+r may be in A.P.

FInd the condition that the zeroes of the polynomial f(x)=x^(3)+3px^(2)+3qx+r may be in A.P

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 = ………….

If alpha, beta, gamma are the zeros of the polynomial f(x) = ax^(3) + bx^(2) + cx + d then 1/(alpha) + 1/(beta) + 1/(gamma) = ………….

Find the condition that the zeros of the polynomial f(x)=x^3+3p x^2+3q x+r may be in A.P.