If `alpha,beta` gamma are the zeroes of polynomial f(x)`=(x-1)(x^(2)+x+3)`, then find the value of `alpha^(3)+beta^(3)+gamma^(3)`.

If alpha, beta, gamma are zeroes of polynomial 6x^(3)+3x^(2)-5x+1 , then find the value of alpha^(-1)+beta^(-1)+gamma^(-1) .

If alpha,beta gamma are zeroes of cubic polynomial x^(3)+5x-2 , then find the value of alpha^(3)+beta^(3)+gamma^(3) .

If alpha,beta and gamma are the three zeroes of the polynomial p(x)=x^(3)64x-14, what is the value of alpha^(3)+beta^(3)+gamma^(3)?

If alpha,beta,gamma are the zeroes of the polynomial f(x)=2x^(3)+6x^(2)-4x+9, find the value of (1)/(alpha beta)+(1)/(beta gamma)+(1)/(gamma alpha)

If alpha, beta, gamma are the zeros of the polynomial p(x) = 6x^(3)+3x^(2)-5x+1, find the value of (1/alpha+1/beta+1/gamma).

If alpha, beta and gamma are the roots of the cubic equation (x-1)(x^(2) + x + 3)=0 , then the value of alpha^(3) + beta^(3) + gamma^(3) is:

If alpha,beta are the zeroes of the polynomials f(x)=x^(2)-3x+6 then find the value of (1)/(alpha)+(1)/(beta)+alpha^(2)+beta^(2)-2 alpha beta

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 the roots of the equation x^(3) + x + 1 = 0 , then the value of alpha^(3) + beta^(3) + gamma^(3) , is

If alpha, beta are the zeros of the polynomial 4x ^(2)+3x+7 then find the value of (1)/(alpha) + (1)/(beta).