If `alpha , beta , gamma` are roots of a cubic polynomial `alpha + beta + gamma` = ……………..

If alpha,beta,gamma roots of a cubic polynomial then alpha beta gamma =……

If alpha, beta, gamma are roots of a cubic polynomial then alpha beta + beta gamma + gamma alpha = …………….

If alpha, beta, gamma are the zeroes of the cubic polynomial ax^(3) + bx^(2) + cx +d and (a != 0) , then alpha beta gamma = ……….

If alpha, beta, gamma be the zeros of the polynomial p(x) such that (alpha+beta+gamma) = 3, (alpha beta+beta gamma+gamma alpha) =- 10 and alpha beta gamma =- 24 then p(x) = ?

If alpha, beta, gamma are the roots of x^3+a x^2+b=0 then the value of [[alpha , beta , gamma],[beta , gamma , alpha],[gamma , alpha , beta]] 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 x^(3)+px+q=0 then |(alpha, beta, gamma),(beta, gamma, alpha),(gamma, alpha, beta)|=

If alpha , beta , gamma are roots of x^(3)-3x+11=0 then equation whose roots are beta + gamma , alpha + beta , alpha + gamma is

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