If `alpha , beta, gamma` are the roots of `x^3+x^2-5x-1=0` then `alpha+beta+gamma` is equal to

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

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

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

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

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

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

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

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

If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0 The value of |{:(alpha, beta ,gamma),(gamma,alpha ,beta),(beta,gamma ,alpha):}| is equal to

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 .