If `alpha and 1/alpha` are the zeroes of the polnomial `4x^2-2x+(k-4),` find the value of `k.`

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-x-4, find the value of (1)/(alpha)+(1)/(beta)-alpha beta

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^2-x-4 , find the value of 1/alpha+1/beta-alphabeta .

If alpha and beta are the zeros of the quadratic polynomial p(x)=4x^2-5x-1 , find the value of alpha^2beta+alphabeta^2 .

If alpha and beta are the zeroes of the polynomial 2x^(2)-4x+5 find the value of alpha^(2)+beta^(2)

If alpha,beta,gamma are the zeroes of the polynomial x^(3)+2x^(2)-4x+1, find the values of (i)sum(1)/(alpha) and (ii) sum alpha^(2)

If alpha and beta are the zeros of the quadratic polynomial p(x)=4x^(2)-5x-1, find the value of alpha^(2)beta+alpha beta^(2)

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-5x+4 , find the value of (1)/(alpha)+(1)/(beta)-2 alpha beta

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 and beta are the zeroes of the quadratic polynomial f(x)=x^2-4x+3 then find the value of alpha^4beta^2+alpha^2beta^4