If alpha and beta are the zeros of quadratic polynomal 2x2-5x+7 , find a polynomial whose zeros are 3alpha+2beta and 2alpha+3beta
now, when zeros of polynomial are (3α+2β) and (2α+3β), then
sum of roots= (3α+2β) + (2α+3β) =5α+5β=5(α+β)
thus, the polynomial obtained is