A quartic polynomial P(x) has rational coefficients. If 2 − i and −5√ are roots of P(x) = 0, what are the other 2 roots?

Answer 1

2+i and +5sqr(a) the roots come in conjugate pairs

if 2-i is a root, then 2+i is a root; if -5sqr(a) is a root, so is +5sqr(a)

a is a constant, the missing information you need to get a specific root