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

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

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

If alpha and beta are the zeros of the quadratic polynomial f(x) = 3x^2 - 7x - 6 , find a polynomial whose zeros are alpha^(2) and beta^(2)

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 zeroes of a polynomial f(x0 =3x^(2)-4x+1 , finda quadratic polynomial whose zeroes are (alpha^(2))/(beta) and (beta^(2))/(alpha) .

If alpha and beta are the zeros of the quadratic polynomial f(x) = 3x^2 - 7x - 6 , find a polynomial whose zeros are (i) alpha^(2) and beta^(2) , (ii) 2alpha + 3beta and 3alpha + 2beta .