Question

why does complex roots appear in conjugate form​

Answer 1

Answer:

When a polynomial does not contain non-real coefficients, it does not change when we replace by . However, if it has complex roots, those roots would change. This means that taking the conjugate of the roots must result in the same set — hence, the roots must come in conjugate pairs

Answer 2

Answer:

When a polynomial does not contain non-real coefficients, it does not change when we replace by . However, if it has complex roots, those roots would change. This means that taking the conjugate of the roots must result in the same set — hence, the roots must come in conjugate pairs.