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3 $begingroup$ The polynomial $x^3+3x^2-2x+1$ has roots $alpha, beta, gamma$ . Find $$alpha^2(beta + gamma) + beta^2(alpha + gamma) + gamma^2(alpha + beta)$$ I tried finding the relation using $-b/a$ , $c/a$ and $-d/a$ . I couldn’t seem to find anything. I also tried solving for one root but it gave me back the polynomial but with the root as the variable. Also the polynomial can not be factorised. polynomials share | cite | improve this question edited 2 hours ago Eevee Trainer 6,418 1 12 37 asked 2 hours ago