Once you get to higher extensions where the roots are indistinguishable w.r.t. the base field, mathematicians will just write something like “Let a_1, …, a_5 b

Once you get to higher extensions where the roots are indistinguishable w.r.t. the base field, mathematicians will just write something like “Let a_1, …, a_5 be the five roots of p(x).”