Let `p(x) =x^6-x^5-x^3-x^2-x` and `alpha, beta, gamma, delta` are the roots of the equation `x^4-x^3-x^2-1=0` then `P(alpha)+P(beta)+P(gamma)+P(delta)=`

If P(x)=x^(6)-x^(5)-x^(3)-x^(2)-x & alpha, beta, gamma, delta are the roots of the equation Q(x)=x^(4)-x^(3)-x^(2)-1=0 Then P(alpha)+P(beta)+P(gamma)+P(delta)=

If alpha,beta,gamma are the roots of the equation,x^(3)+P_(0)x^(2)+P_(1)x+P_(2)=0 ,then (1-alpha^(2))(1-beta^(2))(1-gamma^(2)) is equal to

If alpha,beta,gamma,delta are the roots of 3x^(4)-8x^(3)+x^(2)-10x+5=0, then the equation whose roots are -alpha,-beta,-gamma,-delta is

If alpha,beta,gamma,delta are the roots of 5x^(4)-9x^(3)+2x^(2)-15x+20=0, then the equation whose roots are -alpha,-beta,-gamma,-delta is

If alpha,beta,gamma and delta are roots of equation x^(4)-7x^(2)+x-5=0, then the value of (alpha+beta+gamma)(alpha+beta+delta)(beta+gamma+delta)(alpha+gamma+delta) is equal to

Let alpha,beta be the roots of the equation x^(2)-(2a+1)x+a=0 and gamma,delta be the roots of the equation x^(2)+(a-4)x+a-1=0. If (alpha)/(gamma)-(delta)/(beta)=(alpha delta(alpha-gamma+beta-delta))/(a) then the value of (a-1)^(-2) is

If alpha, beta, gamma are the roots fo x^(3)-x^(2)+ax+b=0 and beta, gamma, delta are the roots of x^(3)-4x^(2)+mx+n=0 . If alpha, beta, gamma and delta are in A.P. with common difference d then

If alpha, beta, gamma are the roots fo x^(3)-x^(2)+ax+b=0 and beta, gamma, delta are the roots of x^(3)-4x^(2)+mx+n=0 . If alpha, beta, gamma and delta are in A.P. with common difference d then