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

If the zeroes of the polynomial f(x)=x^(3)-ax^(2)+bx+c are in arithmetic progression, then

If the zeroes of the quadratic polynomial ax^(2)+bx+c,cne0 are equal,then

If one of the zeroes of the cubic polynomial x^(3)+ax^(2)+bx+c is -1, then the product of the other two zeroes is

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 roots of the equation x^(3) + ax^(2) + bx + c = 0 are in A.P., 2a^(3) - 9ab =

If one of the zeroes of the cubic polynomial x^(3)+ax^(2)+bx+c is -1, then the perpendicular of the other two zeroes is

If one of the zereos of the cubic polynomial x^(3)+ax^(2)+bx+c is -1, then the product of the other two zeroes is