If `px^3 + qx^2 + rx+s=0` is a R.E. of second type then

find the condition that px^(3) + qx^(2) +rx +s=0 has exactly one real roots, where p ,q ,r,s,in R

For a cubic polynomial t(x) = px^(3) + qx^(2) + rx +s , which of the following is always true:

If x^4+px^3+qx^2+rx+5=0 has four positive roots,then the minimum value of pr is equal to

If the roots of x^(5) - 40 x^(4) + Px^(3) + Qx^(2) + Rx + S = 0 are in G.P. and sum of their reciprocals is 10, then |S| is equal to

If alpha, beta, gamma, delta are roots of x^(4) + px^(3) + qx^(2) + rx + s = 0 then sum alpha^(2) beta gamma =

If px ^(2)+ qx + r=0 has equal roots then value of r will be "_______."

three roots of the equation x^(4)-px^(3)+qx^(2)-rx+s=0 are tan A,tan B and tan C when A,B,C are the angle of a triangle,the fourth root of the biquadratic is -