Task 876

Task 876: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Let $r 1,$ $r 2,$ and $r 3$ be the roots of \ x^3 - 3x^2 + 8 = 0.\ Find the monic polynomial, in $x,$ whose roots are $2r 1,$ $2r 2,$ and $2r 3.$

The task

Let $r_1,$ $r_2,$ and $r_3$ be the roots of \[x^3 - 3x^2 + 8 = 0.\]Find the monic polynomial, in $x,$ whose roots are $2r_1,$ $2r_2,$ and $2r_3.$