If `alpha,beta,gamma` are such that `alpha+beta+gamma=2,""alpha^2+beta^2+gamma^2=6,""alpha^3+beta^3+gamma^3=8,t h e n""alpha^4+beta^4+gamma^4` is a. 18 b. 10 c. 15 d. 36

If alpha,beta,gamma are such that alpha+beta+gamma=2alpha^(2)+beta^(2)+gamma^(2)=6,alpha^(3)+beta^(3)+gamma^(3)=8, then alpha^(4)+beta^(4)+gamma^(4)

If alpha+beta+gamma=6,alpha^(2)+beta^(2)+gamma^(2)=14 and alpha^(3)+beta^(3)+gamma^(3)=36, then alpha^(4)+beta^(4)+gamma^(4)=

If A=[alpha beta gamma-alpha] is such that A^(2)=I, then 1+alpha^(2)+beta gamma=0( b) 1-alpha^(2)+beta gamma=0 (c) 1-alpha^(2)-beta gamma=0 (d) 1+alpha^(2)-beta gamma=0

If alpha, beta, gamma are the cube roots of 8 , then |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)|=

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+px^2+qx+r=0 then alpha^(2)(beta+gamma)+beta^(2)(gamma+alpha)+gamma^(2)(alpha+beta)=

Determine the values of alpha ,beta , gamma when [{:( 0, 2beta, gamma),( alpha ,beta, -gamma),( alpha ,-beta, gamma):}] is orthogonal.