[SOLVED] Polynomial inequality 1. The problem statement, all variables and given/known data Show [tex]x^4-3x^3+4x^2-3x+1 \geq 0[/tex] for all real x. 2. Relevant equations [tex]a^2 \geq 0[/tex] Cant think of any more. 3. The attempt at a solution I've tried to factor it relentlessly, because I would have sworn on my life there was a nice trick for factoring polynomials with symmetrical and alternating co efficients, but I cant remember...By observation i can see the inequality is trivial if x is less than 0 or greater than 3. But I can't fill the gap.