If the roots of `x^3+px^2+qx+r=0` are in GP find the relation between `p,q and r`

If zeros of x^(3)-3px^(2)+qx-r are in A.P. then

If the roots of the equation px^(2)+qx+r=0 are in the ratio l:m then

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

If the roots of the quadratic equation px^(2)+qx+r=0 are reciprocal to each other ,then the relation between p and r is

If roots of ax^(2) + bx + c = 0 are 2 , more than the roots of px^(2) + qx + r = 0 , then the value of c in terms of p,q and r is

If truth and lie are zeros of the polynomial px^(2)+qx+r , (p ne 0) and those zeros are reciprocal to each other, Find the relation between p and r .

If p and q are the roots of x^(2)+px+q=0 then find p.

If all the roots of x^(3)+px+q=0p,q in R,q!=0 are real then

Suppose p ne q and difference between the roots of x^(2) + 2px + q = 0 is twice the difference between the roots of x^(2) + qx + (1)/(4) p = 0 then |p + q + 4| is equal to _______