If ` alpha , beta , gamma ` are the roots of ` x^3 +4x^2 -2x -3=0` then find the equation whose roots are `(alpha)/(3), ( beta)/(3) , ( gamma)/(3)` .

If alpha, beta, gamma are the roots of x^(3) + 2x^(2) - 4x - 3 = 0 then the equation whose roots are alpha//3, beta//3, gamma//3 is

if alpha, beta, gamma are the roots of x^(3) + x^(2)+x + 9=0 , then find the equation whose roots are (alpha +1)/(alpha -1) , (beta+1)/(beta -1), (gamma+1)/(gamma -1)

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum alpha^3

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum alpha^2

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum (1)/( alpha )

If alpha , beta , gamma are the roots of x^3 + 3x^2 -4x +2=0 then the equation whose roots are (1)/( alpha beta) ,(1)/( beta gamma) ,(1)/( gamma alpha) is

If alpha ,beta,gamma are the roots of x^3 -7x +6=0 then find the equation whose roots are (alpha-beta)^2 ,(beta-gamma)^2,(gamma-alpha)^2

If alpha , beta , gamma are the roots of x^3 -3x +1=0 then the equation whose roots are alpha - (1)/( beta gamma) , beta - (1)/( gamma alpha ) , gamma - (1)/( alpha beta ) is

If alpha , beta , gamma are the roots of x^3 - 6x^2 +11 x-6=0 then find the equation whose roots are alpha^2 + beta^2, beta^2 + gamma^2 , gamma^2 + alpha^2

If alpha,beta,gamma are the roots of the equation x^3-p x+q=0, then find the cubic equation whose roots are alpha/(1+alpha),beta/(1+beta),gamma/(1+gamma) .