HMMT 1999 T8

Find all the roots of $\left(x^{2}+3 x+2\right)\left(x^{2}-7 x+12\right)\left(x^{2}-2 x-1\right)+24=0$ .

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

0,2,1 \pm \sqrt{6}, 1 \pm 2 \sqrt{2}

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.