If alpha and beta are zeroes of the quadratic polynomial x2-5x+4, then find all the quadratic polynomials whose zeroes are alpha+1/beta and beta+1/alpha.
(1) If alpha and beta are the zeroes of the polynomaial 2X(square)-5X+7 , Find a polynomial whose zeroes are 2 alpha + 3 beta and 3 alpha + 2 beta.
(2) If alpha and beta are the zeroes of the polynimial 3X(square)-4X+1 , Find a polynomial whose zeroes are alpha(square) by (divided by ) beta and beta (square) by alpha.
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