If `sumalpha=2/3 ,sumalphabeta=4/3` and `alphabetagamma=8/3` then the equation whose roots are `alpha, beta, gamma ` is

If alpha, beta, gamma are the roots of ax^(3) + bx^(2) + cx + d = 0 and |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| = 0, alpha != beta != gamma , then find the equation whose roots are alpha + beta - gamma, beta + gamma - alpha and gamma + alpha - beta

If alpha,beta,gamma are the roots of a x^3+b x^2+cx+d=0 and |[alpha,beta,gamma],[beta,gamma,alpha],[gamma,alpha,beta]|=0, alpha!=beta!=gamma then find the equation whose roots are alpha+beta-gamma,beta+gamma-alpha , and gamma+alpha-beta .

If alpha,beta,gamma are the roots of a x^3+b x^2+cx+d=0 and |[alpha,beta,gamma],[beta,gamma,alpha],[gamma,alpha,beta]|=0, alpha!=beta!=gamma then find the equation whose roots are alpha+beta-gamma,beta+gamma-alpha , and gamma+alpha-beta .

If alpha is equal to beta, but alpha^(3)=19 alpha+1,beta^(3)=19 beta+1,gamma^(3)=19 gamma+1, then the equation whose roots are 1/ alpha,1/ beta,1/ gamma is

If alpha,beta and gamma are the roots of x^(3)+8=0 then find the equation whose roots are alpha^(2),beta^(2) and gamma

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

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 -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)-x^(2)+7x+2=0, then the equation whose roots are -alpha,-beta,-gamma is

If alpha , beta , gamma are the roots of x^3 -7x + 6 =0 the equation whose roots are alpha + beta , beta + gamma , gamma + alpha is