Is `1/(x^2 - 5x + 6)` a quadratic polynomial? give reasons

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

If alpha,beta are zeros of 2x^2 – 5x + 1 find a quadratic polynomial whose zeroes are 2alpha and 2beta .

If alpha and beta are zeroes of a quadratic polynomial x^(2)-5, then form a quadratic polynomial whose zeroes are 1+alpha and 1+beta

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-3x-2, find a quadratic polynomial whose zeros are (1)/(2 alpha+beta) and (1)/(2 beta+alpha)

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-3x-2, find a quadratic polynomial whose zeros are (1)/(2 alpha+beta) and (1)/(2 beta+alpha)

If alpha and beta are the zeros of the quadratic polynomial f(x)=3x^(2)-4x+1, find a quadratic polynomial whose zeros are (alpha^(2))/(beta) and (beta^(2))/(alpha).

If alpha and beta are the zeros of quadratic polynomial f(x)=3x^(2)-4x+1 ; Find a quadratic Polynomial whose zeros are (alpha^(2))/(beta) and beta' 2/a pha'.

If alpha and beta are the zeros of a polynomial 2x^(2)-3x+5=0 .form a quadratic polynomial whose zeros are (alpha+beta) and (1/ alpha+1/ beta)

If alpha and beta are the zeros of the quadratic polynomial f(x)=3x^(2)-4x+1, find quadratic polynomial whose zeros are (alpha^(2))/(beta) and (beta^(2))/(alpha)