[" Condition that "],[x^(3)-px^(2)+qx-r=0" may have the "],[" sum of its two roots zero "]

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

Find the condition that x^3-px^2+qx-r=0 may have the sum of its roots zero .

Find the condition that x^3-px^2+qx-r=0 may have sum of its two roots is zero .

Find the condition that x^3-px^2+qx-r=0 may have the roots in G.P .

Find the condition that x^3-px^2+qx-r=0 may have the roots in G.P .

Find the condition which must be satisfied by the zeros of f(x) = x^(3) - px^(2) + qx - r , when the sum of its two zeros is zero .

Find the condition which must be satisfied by the coefficients of the polynomial f(x)=x^(3)-px^(2)+qx-r when the sum of its two zeros is zero.

find the condition that x^3 -px^2 +qx -r=0 may have two roots equal in magniude but of opposite sign