Complex Conjugate Theorem + Irrational Conjugate Theorem
Non-real zeros of a polynomial always come in…
If a polynomial has rational coefficients, then irrational zeros always come in…
Examples:
If 2−𝑖 is a root, then _________ is also a root.
If 5+3𝑖 is a root, then _________ is also a root.
If 10𝑖 is a root, then _________ is also a root.
If 2𝑖−6 is a root, then _________ is also a root.