If `alpha,beta.gamma are zeroes of polynomial x^3+2x^2+qx-r=0 & alpha+beta=0 then show 2q=r`

If alpha, beta , gamma are the zeros of the polynomial x^(3) - px^(2) + qx - r then 1/(alpha beta) + 1/(beta gamma) + 1/(gamma alpha) = …………..

If alpha, beta, gamma are the zeros of the polynomial x^(3)-6x^(2) -x+ 30 then (alpha beta+beta gamma + gamma alpha) = ?

If alpha,beta,gamma are the zeros of the polynomial f(x)=x^(3)-px^(2)+qx-r, then (1)/(alpha beta)+(1)/(beta gamma)+(1)/(gamma alpha)=

If alpha, beta, gamma are the zeros of the polynomial 2x^(3)+ x^(2) - 13 x+ 6 then alpha beta gamma = ?

If alpha,beta,gamma are the zeros of the polynomial f(x)=x^(3)-px^(2)+qx-r, then (1)/(alpha beta)+(1)/(beta gamma)+(a)/(gamma alpha)=(r)/(p)( b) (p)/(r)(c)-(p)/(r)(d)-(r)/(p)

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

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

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

If alpha, beta , gamma are the zeros of the polynomial x^(3)-6x^(2)-x+30 then the value of (alpha beta+beta gamma+gamma alpha) is

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