The condition that the product of two of the roots of x^(3)+px^(2)+qx+r=0 may be -1 is

The condition that the roots of x^(3)px^(2)+qx-r=0 may be in G.P. is

The condition that the roots of x^(3)+3px^(2)+3qx+r=0 may be in G.P. is

The condition that the roots of x^(3)+3px^(2)+3qx+r=0 may be in H.P. is

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

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)-px^(2)+qx-r may be in arithmetic progression.

If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then